What is the Least Common Multiple of 4951 and 4956?

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 4951 and 4956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4951 and 4956, than apply into the LCM equation.

GCF(4951,4956) = 1
LCM(4951,4956) = ( 4951 × 4956) / 1
LCM(4951,4956) = 24537156 / 1
LCM(4951,4956) = 24537156

Least Common Multiple (LCM) of 4951 and 4956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4951 and 4956. First we will calculate the prime factors of 4951 and 4956.

Prime Factorization of 4951

Prime Factorization of 4956

Now multiplying the highest exponent prime factors to calculate the LCM of 4951 and 4956.

LCM(4951,4956) = 4951¹ × 2² × 3¹ × 7¹ × 59¹
LCM(4951,4956) = 24537156