What is the Least Common Multiple of 85964 and 85974?

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 85964 and 85974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85964 and 85974, than apply into the LCM equation.

GCF(85964,85974) = 2
LCM(85964,85974) = ( 85964 × 85974) / 2
LCM(85964,85974) = 7390668936 / 2
LCM(85964,85974) = 3695334468

Least Common Multiple (LCM) of 85964 and 85974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85964 and 85974. First we will calculate the prime factors of 85964 and 85974.

Prime Factorization of 85964

Prime Factorization of 85974

Now multiplying the highest exponent prime factors to calculate the LCM of 85964 and 85974.

LCM(85964,85974) = 2² × 21491¹ × 3¹ × 7¹ × 23¹ × 89¹
LCM(85964,85974) = 3695334468