What is the Least Common Multiple of 56740 and 56760?

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 56740 and 56760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56740 and 56760, than apply into the LCM equation.

GCF(56740,56760) = 20
LCM(56740,56760) = ( 56740 × 56760) / 20
LCM(56740,56760) = 3220562400 / 20
LCM(56740,56760) = 161028120

Least Common Multiple (LCM) of 56740 and 56760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56740 and 56760. First we will calculate the prime factors of 56740 and 56760.

Prime Factorization of 56740

Prime Factorization of 56760

Now multiplying the highest exponent prime factors to calculate the LCM of 56740 and 56760.

LCM(56740,56760) = 2³ × 5¹ × 2837¹ × 3¹ × 11¹ × 43¹
LCM(56740,56760) = 161028120