What is the Least Common Multiple of 52953 and 52972?

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 52953 and 52972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52953 and 52972, than apply into the LCM equation.

GCF(52953,52972) = 19
LCM(52953,52972) = ( 52953 × 52972) / 19
LCM(52953,52972) = 2805026316 / 19
LCM(52953,52972) = 147632964

Least Common Multiple (LCM) of 52953 and 52972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52953 and 52972. First we will calculate the prime factors of 52953 and 52972.

Prime Factorization of 52953

Prime Factorization of 52972

Now multiplying the highest exponent prime factors to calculate the LCM of 52953 and 52972.

LCM(52953,52972) = 3¹ × 19¹ × 929¹ × 2² × 17¹ × 41¹
LCM(52953,52972) = 147632964