What is the Least Common Multiple of 2970 and 2982?

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 2982 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 2982, than apply into the LCM equation.

GCF(2970,2982) = 6
LCM(2970,2982) = ( 2970 × 2982) / 6
LCM(2970,2982) = 8856540 / 6
LCM(2970,2982) = 1476090

Least Common Multiple (LCM) of 2970 and 2982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2982. First we will calculate the prime factors of 2970 and 2982.

Prime Factorization of 2970

Prime Factorization of 2982

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2982.

LCM(2970,2982) = 2¹ × 3³ × 5¹ × 11¹ × 7¹ × 71¹
LCM(2970,2982) = 1476090