What is the Least Common Multiple of 56120 and 56138?

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 56120 and 56138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56120 and 56138, than apply into the LCM equation.

GCF(56120,56138) = 2
LCM(56120,56138) = ( 56120 × 56138) / 2
LCM(56120,56138) = 3150464560 / 2
LCM(56120,56138) = 1575232280

Least Common Multiple (LCM) of 56120 and 56138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56120 and 56138. First we will calculate the prime factors of 56120 and 56138.

Prime Factorization of 56120

Prime Factorization of 56138

Now multiplying the highest exponent prime factors to calculate the LCM of 56120 and 56138.

LCM(56120,56138) = 2³ × 5¹ × 23¹ × 61¹ × 28069¹
LCM(56120,56138) = 1575232280