What is the Least Common Multiple of 56880 and 56895?

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 56880 and 56895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56880 and 56895, than apply into the LCM equation.

GCF(56880,56895) = 15
LCM(56880,56895) = ( 56880 × 56895) / 15
LCM(56880,56895) = 3236187600 / 15
LCM(56880,56895) = 215745840

Least Common Multiple (LCM) of 56880 and 56895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56880 and 56895. First we will calculate the prime factors of 56880 and 56895.

Prime Factorization of 56880

Prime Factorization of 56895

Now multiplying the highest exponent prime factors to calculate the LCM of 56880 and 56895.

LCM(56880,56895) = 2⁴ × 3² × 5¹ × 79¹ × 3793¹
LCM(56880,56895) = 215745840