What is the Least Common Multiple of 4971 and 4980?

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 4971 and 4980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4971 and 4980, than apply into the LCM equation.

GCF(4971,4980) = 3
LCM(4971,4980) = ( 4971 × 4980) / 3
LCM(4971,4980) = 24755580 / 3
LCM(4971,4980) = 8251860

Least Common Multiple (LCM) of 4971 and 4980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4980. First we will calculate the prime factors of 4971 and 4980.

Prime Factorization of 4971

Prime Factorization of 4980

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4980.

LCM(4971,4980) = 3¹ × 1657¹ × 2² × 5¹ × 83¹
LCM(4971,4980) = 8251860