What is the Least Common Multiple of 56760 and 56775?

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 56760 and 56775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56760 and 56775, than apply into the LCM equation.

GCF(56760,56775) = 15
LCM(56760,56775) = ( 56760 × 56775) / 15
LCM(56760,56775) = 3222549000 / 15
LCM(56760,56775) = 214836600

Least Common Multiple (LCM) of 56760 and 56775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56760 and 56775. First we will calculate the prime factors of 56760 and 56775.

Prime Factorization of 56760

Prime Factorization of 56775

Now multiplying the highest exponent prime factors to calculate the LCM of 56760 and 56775.

LCM(56760,56775) = 2³ × 3¹ × 5² × 11¹ × 43¹ × 757¹
LCM(56760,56775) = 214836600