What is the Least Common Multiple of 56160 and 56174?

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 56160 and 56174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56160 and 56174, than apply into the LCM equation.

GCF(56160,56174) = 2
LCM(56160,56174) = ( 56160 × 56174) / 2
LCM(56160,56174) = 3154731840 / 2
LCM(56160,56174) = 1577365920

Least Common Multiple (LCM) of 56160 and 56174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56160 and 56174. First we will calculate the prime factors of 56160 and 56174.

Prime Factorization of 56160

Prime Factorization of 56174

Now multiplying the highest exponent prime factors to calculate the LCM of 56160 and 56174.

LCM(56160,56174) = 2⁵ × 3³ × 5¹ × 13¹ × 28087¹
LCM(56160,56174) = 1577365920