What is the Least Common Multiple of 51972 and 51982?

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 51982 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 51982, than apply into the LCM equation.

GCF(51972,51982) = 2
LCM(51972,51982) = ( 51972 × 51982) / 2
LCM(51972,51982) = 2701608504 / 2
LCM(51972,51982) = 1350804252

Least Common Multiple (LCM) of 51972 and 51982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51972 and 51982. First we will calculate the prime factors of 51972 and 51982.

Prime Factorization of 51972

Prime Factorization of 51982

Now multiplying the highest exponent prime factors to calculate the LCM of 51972 and 51982.

LCM(51972,51982) = 2² × 3¹ × 61¹ × 71¹ × 7¹ × 47¹ × 79¹
LCM(51972,51982) = 1350804252