What is the Least Common Multiple of 56168 and 56175?

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 56168 and 56175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56168 and 56175, than apply into the LCM equation.

GCF(56168,56175) = 7
LCM(56168,56175) = ( 56168 × 56175) / 7
LCM(56168,56175) = 3155237400 / 7
LCM(56168,56175) = 450748200

Least Common Multiple (LCM) of 56168 and 56175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56168 and 56175. First we will calculate the prime factors of 56168 and 56175.

Prime Factorization of 56168

Prime Factorization of 56175

Now multiplying the highest exponent prime factors to calculate the LCM of 56168 and 56175.

LCM(56168,56175) = 2³ × 7¹ × 17¹ × 59¹ × 3¹ × 5² × 107¹
LCM(56168,56175) = 450748200