What is the Least Common Multiple of 4947 and 4952?

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 4947 and 4952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4947 and 4952, than apply into the LCM equation.

GCF(4947,4952) = 1
LCM(4947,4952) = ( 4947 × 4952) / 1
LCM(4947,4952) = 24497544 / 1
LCM(4947,4952) = 24497544

Least Common Multiple (LCM) of 4947 and 4952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4952. First we will calculate the prime factors of 4947 and 4952.

Prime Factorization of 4947

Prime Factorization of 4952

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4952.

LCM(4947,4952) = 3¹ × 17¹ × 97¹ × 2³ × 619¹
LCM(4947,4952) = 24497544