What is the Least Common Multiple of 98735 and 98750?
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 98735 and 98750 is 1950016250.
LCM(98735,98750) = 1950016250
Least Common Multiple of 98735 and 98750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98735 and 98750, than apply into the LCM equation.
GCF(98735,98750) = 5
LCM(98735,98750) = ( 98735 × 98750) / 5
LCM(98735,98750) = 9750081250 / 5
LCM(98735,98750) = 1950016250
Least Common Multiple (LCM) of 98735 and 98750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98735 and 98750. First we will calculate the prime factors of 98735 and 98750.
Prime Factorization of 98735
Prime factors of 98735 are 5, 7, 13, 31. Prime factorization of 98735 in exponential form is:
98735 = 51 × 72 × 131 × 311
Prime Factorization of 98750
Prime factors of 98750 are 2, 5, 79. Prime factorization of 98750 in exponential form is:
98750 = 21 × 54 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 98735 and 98750.
LCM(98735,98750) = 54 × 72 × 131 × 311 × 21 × 791
LCM(98735,98750) = 1950016250
Related Least Common Multiples of 98735
- LCM of 98735 and 98739
- LCM of 98735 and 98740
- LCM of 98735 and 98741
- LCM of 98735 and 98742
- LCM of 98735 and 98743
- LCM of 98735 and 98744
- LCM of 98735 and 98745
- LCM of 98735 and 98746
- LCM of 98735 and 98747
- LCM of 98735 and 98748
- LCM of 98735 and 98749
- LCM of 98735 and 98750
- LCM of 98735 and 98751
- LCM of 98735 and 98752
- LCM of 98735 and 98753
- LCM of 98735 and 98754
- LCM of 98735 and 98755
Related Least Common Multiples of 98750
- LCM of 98750 and 98754
- LCM of 98750 and 98755
- LCM of 98750 and 98756
- LCM of 98750 and 98757
- LCM of 98750 and 98758
- LCM of 98750 and 98759
- LCM of 98750 and 98760
- LCM of 98750 and 98761
- LCM of 98750 and 98762
- LCM of 98750 and 98763
- LCM of 98750 and 98764
- LCM of 98750 and 98765
- LCM of 98750 and 98766
- LCM of 98750 and 98767
- LCM of 98750 and 98768
- LCM of 98750 and 98769
- LCM of 98750 and 98770