What is the Least Common Multiple of 51760 and 51772?

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 51760 and 51772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51760 and 51772, than apply into the LCM equation.

GCF(51760,51772) = 4
LCM(51760,51772) = ( 51760 × 51772) / 4
LCM(51760,51772) = 2679718720 / 4
LCM(51760,51772) = 669929680

Least Common Multiple (LCM) of 51760 and 51772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51760 and 51772. First we will calculate the prime factors of 51760 and 51772.

Prime Factorization of 51760

Prime Factorization of 51772

Now multiplying the highest exponent prime factors to calculate the LCM of 51760 and 51772.

LCM(51760,51772) = 2⁴ × 5¹ × 647¹ × 7¹ × 43²
LCM(51760,51772) = 669929680