What is the Least Common Multiple of 56160 and 56169?

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 56169 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 56169, than apply into the LCM equation.

GCF(56160,56169) = 9
LCM(56160,56169) = ( 56160 × 56169) / 9
LCM(56160,56169) = 3154451040 / 9
LCM(56160,56169) = 350494560

Least Common Multiple (LCM) of 56160 and 56169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56160 and 56169. First we will calculate the prime factors of 56160 and 56169.

Prime Factorization of 56160

Prime Factorization of 56169

Now multiplying the highest exponent prime factors to calculate the LCM of 56160 and 56169.

LCM(56160,56169) = 2⁵ × 3³ × 5¹ × 13¹ × 79²
LCM(56160,56169) = 350494560