What is the Least Common Multiple of 83972 and 83986?

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 83972 and 83986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83972 and 83986, than apply into the LCM equation.

GCF(83972,83986) = 14
LCM(83972,83986) = ( 83972 × 83986) / 14
LCM(83972,83986) = 7052472392 / 14
LCM(83972,83986) = 503748028

Least Common Multiple (LCM) of 83972 and 83986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83972 and 83986. First we will calculate the prime factors of 83972 and 83986.

Prime Factorization of 83972

Prime Factorization of 83986

Now multiplying the highest exponent prime factors to calculate the LCM of 83972 and 83986.

LCM(83972,83986) = 2² × 7² × 2999¹ × 857¹
LCM(83972,83986) = 503748028