What is the Least Common Multiple of 52947 and 52956?

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 52947 and 52956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52947 and 52956, than apply into the LCM equation.

GCF(52947,52956) = 9
LCM(52947,52956) = ( 52947 × 52956) / 9
LCM(52947,52956) = 2803861332 / 9
LCM(52947,52956) = 311540148

Least Common Multiple (LCM) of 52947 and 52956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52947 and 52956. First we will calculate the prime factors of 52947 and 52956.

Prime Factorization of 52947

Prime Factorization of 52956

Now multiplying the highest exponent prime factors to calculate the LCM of 52947 and 52956.

LCM(52947,52956) = 3³ × 37¹ × 53¹ × 2² × 1471¹
LCM(52947,52956) = 311540148