What is the Least Common Multiple of 90882 and 90900?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 90882 and 90900 is 458954100.
LCM(90882,90900) = 458954100
Least Common Multiple of 90882 and 90900 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90882 and 90900, than apply into the LCM equation.
GCF(90882,90900) = 18
LCM(90882,90900) = ( 90882 × 90900) / 18
LCM(90882,90900) = 8261173800 / 18
LCM(90882,90900) = 458954100
Least Common Multiple (LCM) of 90882 and 90900 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90882 and 90900. First we will calculate the prime factors of 90882 and 90900.
Prime Factorization of 90882
Prime factors of 90882 are 2, 3, 11, 17. Prime factorization of 90882 in exponential form is:
90882 = 21 × 35 × 111 × 171
Prime Factorization of 90900
Prime factors of 90900 are 2, 3, 5, 101. Prime factorization of 90900 in exponential form is:
90900 = 22 × 32 × 52 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 90882 and 90900.
LCM(90882,90900) = 22 × 35 × 111 × 171 × 52 × 1011
LCM(90882,90900) = 458954100
Related Least Common Multiples of 90882
- LCM of 90882 and 90886
- LCM of 90882 and 90887
- LCM of 90882 and 90888
- LCM of 90882 and 90889
- LCM of 90882 and 90890
- LCM of 90882 and 90891
- LCM of 90882 and 90892
- LCM of 90882 and 90893
- LCM of 90882 and 90894
- LCM of 90882 and 90895
- LCM of 90882 and 90896
- LCM of 90882 and 90897
- LCM of 90882 and 90898
- LCM of 90882 and 90899
- LCM of 90882 and 90900
- LCM of 90882 and 90901
- LCM of 90882 and 90902
Related Least Common Multiples of 90900
- LCM of 90900 and 90904
- LCM of 90900 and 90905
- LCM of 90900 and 90906
- LCM of 90900 and 90907
- LCM of 90900 and 90908
- LCM of 90900 and 90909
- LCM of 90900 and 90910
- LCM of 90900 and 90911
- LCM of 90900 and 90912
- LCM of 90900 and 90913
- LCM of 90900 and 90914
- LCM of 90900 and 90915
- LCM of 90900 and 90916
- LCM of 90900 and 90917
- LCM of 90900 and 90918
- LCM of 90900 and 90919
- LCM of 90900 and 90920