What is the Least Common Multiple of 85974 and 85982?

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 85974 and 85982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85974 and 85982, than apply into the LCM equation.

GCF(85974,85982) = 2
LCM(85974,85982) = ( 85974 × 85982) / 2
LCM(85974,85982) = 7392216468 / 2
LCM(85974,85982) = 3696108234

Least Common Multiple (LCM) of 85974 and 85982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85974 and 85982. First we will calculate the prime factors of 85974 and 85982.

Prime Factorization of 85974

Prime Factorization of 85982

Now multiplying the highest exponent prime factors to calculate the LCM of 85974 and 85982.

LCM(85974,85982) = 2¹ × 3¹ × 7¹ × 23¹ × 89¹ × 13¹ × 3307¹
LCM(85974,85982) = 3696108234