What is the Least Common Multiple of 85968 and 85983?

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 85968 and 85983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85968 and 85983, than apply into the LCM equation.

GCF(85968,85983) = 3
LCM(85968,85983) = ( 85968 × 85983) / 3
LCM(85968,85983) = 7391786544 / 3
LCM(85968,85983) = 2463928848

Least Common Multiple (LCM) of 85968 and 85983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85968 and 85983. First we will calculate the prime factors of 85968 and 85983.

Prime Factorization of 85968

Prime Factorization of 85983

Now multiplying the highest exponent prime factors to calculate the LCM of 85968 and 85983.

LCM(85968,85983) = 2⁴ × 3³ × 199¹ × 28661¹
LCM(85968,85983) = 2463928848