What is the Least Common Multiple of 53972 and 53981?

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 53972 and 53981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53972 and 53981, than apply into the LCM equation.

GCF(53972,53981) = 1
LCM(53972,53981) = ( 53972 × 53981) / 1
LCM(53972,53981) = 2913462532 / 1
LCM(53972,53981) = 2913462532

Least Common Multiple (LCM) of 53972 and 53981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53972 and 53981. First we will calculate the prime factors of 53972 and 53981.

Prime Factorization of 53972

Prime Factorization of 53981

Now multiplying the highest exponent prime factors to calculate the LCM of 53972 and 53981.

LCM(53972,53981) = 2² × 103¹ × 131¹ × 23¹ × 2347¹
LCM(53972,53981) = 2913462532