What is the Least Common Multiple of 51972 and 51989?

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 51972 and 51989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51972 and 51989, than apply into the LCM equation.

GCF(51972,51989) = 1
LCM(51972,51989) = ( 51972 × 51989) / 1
LCM(51972,51989) = 2701972308 / 1
LCM(51972,51989) = 2701972308

Least Common Multiple (LCM) of 51972 and 51989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51972 and 51989. First we will calculate the prime factors of 51972 and 51989.

Prime Factorization of 51972

Prime Factorization of 51989

Now multiplying the highest exponent prime factors to calculate the LCM of 51972 and 51989.

LCM(51972,51989) = 2² × 3¹ × 61¹ × 71¹ × 7² × 1061¹
LCM(51972,51989) = 2701972308