What is the Least Common Multiple of 87914 and 87932?

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 of 87914 and 87932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87914 and 87932, than apply into the LCM equation.

GCF(87914,87932) = 2
LCM(87914,87932) = ( 87914 × 87932) / 2
LCM(87914,87932) = 7730453848 / 2
LCM(87914,87932) = 3865226924

Least Common Multiple (LCM) of 87914 and 87932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87914 and 87932. First we will calculate the prime factors of 87914 and 87932.

Prime Factorization of 87914

Prime Factorization of 87932

Now multiplying the highest exponent prime factors to calculate the LCM of 87914 and 87932.

LCM(87914,87932) = 2² × 113¹ × 389¹ × 13¹ × 19¹ × 89¹
LCM(87914,87932) = 3865226924