What is the Least Common Multiple of 4980 and 4991?

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 4980 and 4991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4980 and 4991, than apply into the LCM equation.

GCF(4980,4991) = 1
LCM(4980,4991) = ( 4980 × 4991) / 1
LCM(4980,4991) = 24855180 / 1
LCM(4980,4991) = 24855180

Least Common Multiple (LCM) of 4980 and 4991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4980 and 4991. First we will calculate the prime factors of 4980 and 4991.

Prime Factorization of 4980

Prime Factorization of 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 4980 and 4991.

LCM(4980,4991) = 2² × 3¹ × 5¹ × 83¹ × 7¹ × 23¹ × 31¹
LCM(4980,4991) = 24855180