What is the Least Common Multiple of 3120 and 3138?

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 3120 and 3138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3120 and 3138, than apply into the LCM equation.

GCF(3120,3138) = 6
LCM(3120,3138) = ( 3120 × 3138) / 6
LCM(3120,3138) = 9790560 / 6
LCM(3120,3138) = 1631760

Least Common Multiple (LCM) of 3120 and 3138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3138. First we will calculate the prime factors of 3120 and 3138.

Prime Factorization of 3120

Prime Factorization of 3138

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3138.

LCM(3120,3138) = 2⁴ × 3¹ × 5¹ × 13¹ × 523¹
LCM(3120,3138) = 1631760