What is the Least Common Multiple of 52280 and 52285?

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 52280 and 52285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52280 and 52285, than apply into the LCM equation.

GCF(52280,52285) = 5
LCM(52280,52285) = ( 52280 × 52285) / 5
LCM(52280,52285) = 2733459800 / 5
LCM(52280,52285) = 546691960

Least Common Multiple (LCM) of 52280 and 52285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52280 and 52285. First we will calculate the prime factors of 52280 and 52285.

Prime Factorization of 52280

Prime Factorization of 52285

Now multiplying the highest exponent prime factors to calculate the LCM of 52280 and 52285.

LCM(52280,52285) = 2³ × 5¹ × 1307¹ × 10457¹
LCM(52280,52285) = 546691960