What is the Least Common Multiple of 2970 and 2981?

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 2970 and 2981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2970 and 2981, than apply into the LCM equation.

GCF(2970,2981) = 11
LCM(2970,2981) = ( 2970 × 2981) / 11
LCM(2970,2981) = 8853570 / 11
LCM(2970,2981) = 804870

Least Common Multiple (LCM) of 2970 and 2981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2981. First we will calculate the prime factors of 2970 and 2981.

Prime Factorization of 2970

Prime Factorization of 2981

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2981.

LCM(2970,2981) = 2¹ × 3³ × 5¹ × 11¹ × 271¹
LCM(2970,2981) = 804870