What is the Least Common Multiple of 85974 and 85989?

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 85989 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 85989, than apply into the LCM equation.

GCF(85974,85989) = 3
LCM(85974,85989) = ( 85974 × 85989) / 3
LCM(85974,85989) = 7392818286 / 3
LCM(85974,85989) = 2464272762

Least Common Multiple (LCM) of 85974 and 85989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85974 and 85989. First we will calculate the prime factors of 85974 and 85989.

Prime Factorization of 85974

Prime Factorization of 85989

Now multiplying the highest exponent prime factors to calculate the LCM of 85974 and 85989.

LCM(85974,85989) = 2¹ × 3¹ × 7¹ × 23¹ × 89¹ × 28663¹
LCM(85974,85989) = 2464272762