What is the Least Common Multiple of 4929 and 4944?

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 4929 and 4944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4944, than apply into the LCM equation.

GCF(4929,4944) = 3
LCM(4929,4944) = ( 4929 × 4944) / 3
LCM(4929,4944) = 24368976 / 3
LCM(4929,4944) = 8122992

Least Common Multiple (LCM) of 4929 and 4944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4944. First we will calculate the prime factors of 4929 and 4944.

Prime Factorization of 4929

Prime Factorization of 4944

Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4944.

LCM(4929,4944) = 3¹ × 31¹ × 53¹ × 2⁴ × 103¹
LCM(4929,4944) = 8122992