What is the Least Common Multiple of 2980 and 2998?

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 2980 and 2998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2980 and 2998, than apply into the LCM equation.

GCF(2980,2998) = 2
LCM(2980,2998) = ( 2980 × 2998) / 2
LCM(2980,2998) = 8934040 / 2
LCM(2980,2998) = 4467020

Least Common Multiple (LCM) of 2980 and 2998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2998. First we will calculate the prime factors of 2980 and 2998.

Prime Factorization of 2980

Prime Factorization of 2998

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2998.

LCM(2980,2998) = 2² × 5¹ × 149¹ × 1499¹
LCM(2980,2998) = 4467020