What is the Least Common Multiple of 57672 and 57680?

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 57672 and 57680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57672 and 57680, than apply into the LCM equation.

GCF(57672,57680) = 8
LCM(57672,57680) = ( 57672 × 57680) / 8
LCM(57672,57680) = 3326520960 / 8
LCM(57672,57680) = 415815120

Least Common Multiple (LCM) of 57672 and 57680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57672 and 57680. First we will calculate the prime factors of 57672 and 57680.

Prime Factorization of 57672

Prime Factorization of 57680

Now multiplying the highest exponent prime factors to calculate the LCM of 57672 and 57680.

LCM(57672,57680) = 2⁴ × 3⁴ × 89¹ × 5¹ × 7¹ × 103¹
LCM(57672,57680) = 415815120