What is the Least Common Multiple of 76875 and 76888?
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 76875 and 76888 is 5910765000.
LCM(76875,76888) = 5910765000
Least Common Multiple of 76875 and 76888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76875 and 76888, than apply into the LCM equation.
GCF(76875,76888) = 1
LCM(76875,76888) = ( 76875 × 76888) / 1
LCM(76875,76888) = 5910765000 / 1
LCM(76875,76888) = 5910765000
Least Common Multiple (LCM) of 76875 and 76888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76875 and 76888. First we will calculate the prime factors of 76875 and 76888.
Prime Factorization of 76875
Prime factors of 76875 are 3, 5, 41. Prime factorization of 76875 in exponential form is:
76875 = 31 × 54 × 411
Prime Factorization of 76888
Prime factors of 76888 are 2, 7, 1373. Prime factorization of 76888 in exponential form is:
76888 = 23 × 71 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 76875 and 76888.
LCM(76875,76888) = 31 × 54 × 411 × 23 × 71 × 13731
LCM(76875,76888) = 5910765000
Related Least Common Multiples of 76875
- LCM of 76875 and 76879
- LCM of 76875 and 76880
- LCM of 76875 and 76881
- LCM of 76875 and 76882
- LCM of 76875 and 76883
- LCM of 76875 and 76884
- LCM of 76875 and 76885
- LCM of 76875 and 76886
- LCM of 76875 and 76887
- LCM of 76875 and 76888
- LCM of 76875 and 76889
- LCM of 76875 and 76890
- LCM of 76875 and 76891
- LCM of 76875 and 76892
- LCM of 76875 and 76893
- LCM of 76875 and 76894
- LCM of 76875 and 76895
Related Least Common Multiples of 76888
- LCM of 76888 and 76892
- LCM of 76888 and 76893
- LCM of 76888 and 76894
- LCM of 76888 and 76895
- LCM of 76888 and 76896
- LCM of 76888 and 76897
- LCM of 76888 and 76898
- LCM of 76888 and 76899
- LCM of 76888 and 76900
- LCM of 76888 and 76901
- LCM of 76888 and 76902
- LCM of 76888 and 76903
- LCM of 76888 and 76904
- LCM of 76888 and 76905
- LCM of 76888 and 76906
- LCM of 76888 and 76907
- LCM of 76888 and 76908