What is the Least Common Multiple of 52870 and 52880?

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 52870 and 52880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52870 and 52880, than apply into the LCM equation.

GCF(52870,52880) = 10
LCM(52870,52880) = ( 52870 × 52880) / 10
LCM(52870,52880) = 2795765600 / 10
LCM(52870,52880) = 279576560

Least Common Multiple (LCM) of 52870 and 52880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52870 and 52880. First we will calculate the prime factors of 52870 and 52880.

Prime Factorization of 52870

Prime Factorization of 52880

Now multiplying the highest exponent prime factors to calculate the LCM of 52870 and 52880.

LCM(52870,52880) = 2⁴ × 5¹ × 17¹ × 311¹ × 661¹
LCM(52870,52880) = 279576560