What is the Least Common Multiple of 52900 and 52910?

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 52900 and 52910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52900 and 52910, than apply into the LCM equation.

GCF(52900,52910) = 10
LCM(52900,52910) = ( 52900 × 52910) / 10
LCM(52900,52910) = 2798939000 / 10
LCM(52900,52910) = 279893900

Least Common Multiple (LCM) of 52900 and 52910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52900 and 52910. First we will calculate the prime factors of 52900 and 52910.

Prime Factorization of 52900

Prime Factorization of 52910

Now multiplying the highest exponent prime factors to calculate the LCM of 52900 and 52910.

LCM(52900,52910) = 2² × 5² × 23² × 11¹ × 13¹ × 37¹
LCM(52900,52910) = 279893900