What is the Least Common Multiple of 52880 and 52885?

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 52880 and 52885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52880 and 52885, than apply into the LCM equation.

GCF(52880,52885) = 5
LCM(52880,52885) = ( 52880 × 52885) / 5
LCM(52880,52885) = 2796558800 / 5
LCM(52880,52885) = 559311760

Least Common Multiple (LCM) of 52880 and 52885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52880 and 52885. First we will calculate the prime factors of 52880 and 52885.

Prime Factorization of 52880

Prime Factorization of 52885

Now multiplying the highest exponent prime factors to calculate the LCM of 52880 and 52885.

LCM(52880,52885) = 2⁴ × 5¹ × 661¹ × 7¹ × 1511¹
LCM(52880,52885) = 559311760