What is the Least Common Multiple of 85956 and 85962?

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 85956 and 85962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85956 and 85962, than apply into the LCM equation.

GCF(85956,85962) = 6
LCM(85956,85962) = ( 85956 × 85962) / 6
LCM(85956,85962) = 7388949672 / 6
LCM(85956,85962) = 1231491612

Least Common Multiple (LCM) of 85956 and 85962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85956 and 85962. First we will calculate the prime factors of 85956 and 85962.

Prime Factorization of 85956

Prime Factorization of 85962

Now multiplying the highest exponent prime factors to calculate the LCM of 85956 and 85962.

LCM(85956,85962) = 2² × 3¹ × 13¹ × 19¹ × 29¹ × 14327¹
LCM(85956,85962) = 1231491612