What is the Least Common Multiple of 2978 and 2988?

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 2978 and 2988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2978 and 2988, than apply into the LCM equation.

GCF(2978,2988) = 2
LCM(2978,2988) = ( 2978 × 2988) / 2
LCM(2978,2988) = 8898264 / 2
LCM(2978,2988) = 4449132

Least Common Multiple (LCM) of 2978 and 2988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2978 and 2988. First we will calculate the prime factors of 2978 and 2988.

Prime Factorization of 2978

Prime Factorization of 2988

Now multiplying the highest exponent prime factors to calculate the LCM of 2978 and 2988.

LCM(2978,2988) = 2² × 1489¹ × 3² × 83¹
LCM(2978,2988) = 4449132