What is the Least Common Multiple of 51989 and 51996?

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 51989 and 51996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51989 and 51996, than apply into the LCM equation.

GCF(51989,51996) = 7
LCM(51989,51996) = ( 51989 × 51996) / 7
LCM(51989,51996) = 2703220044 / 7
LCM(51989,51996) = 386174292

Least Common Multiple (LCM) of 51989 and 51996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51989 and 51996. First we will calculate the prime factors of 51989 and 51996.

Prime Factorization of 51989

Prime Factorization of 51996

Now multiplying the highest exponent prime factors to calculate the LCM of 51989 and 51996.

LCM(51989,51996) = 7² × 1061¹ × 2² × 3¹ × 619¹
LCM(51989,51996) = 386174292