What is the Least Common Multiple of 3120 and 3134?

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 3134 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 3134, than apply into the LCM equation.

GCF(3120,3134) = 2
LCM(3120,3134) = ( 3120 × 3134) / 2
LCM(3120,3134) = 9778080 / 2
LCM(3120,3134) = 4889040

Least Common Multiple (LCM) of 3120 and 3134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3134. First we will calculate the prime factors of 3120 and 3134.

Prime Factorization of 3120

Prime Factorization of 3134

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3134.

LCM(3120,3134) = 2⁴ × 3¹ × 5¹ × 13¹ × 1567¹
LCM(3120,3134) = 4889040