What is the Least Common Multiple of 56153 and 56173?

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 56153 and 56173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56153 and 56173, than apply into the LCM equation.

GCF(56153,56173) = 1
LCM(56153,56173) = ( 56153 × 56173) / 1
LCM(56153,56173) = 3154282469 / 1
LCM(56153,56173) = 3154282469

Least Common Multiple (LCM) of 56153 and 56173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56153 and 56173. First we will calculate the prime factors of 56153 and 56173.

Prime Factorization of 56153

Prime Factorization of 56173

Now multiplying the highest exponent prime factors to calculate the LCM of 56153 and 56173.

LCM(56153,56173) = 233¹ × 241¹ × 13¹ × 29¹ × 149¹
LCM(56153,56173) = 3154282469