What is the Least Common Multiple of 52625 and 52630?

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 52625 and 52630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52625 and 52630, than apply into the LCM equation.

GCF(52625,52630) = 5
LCM(52625,52630) = ( 52625 × 52630) / 5
LCM(52625,52630) = 2769653750 / 5
LCM(52625,52630) = 553930750

Least Common Multiple (LCM) of 52625 and 52630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52625 and 52630. First we will calculate the prime factors of 52625 and 52630.

Prime Factorization of 52625

Prime Factorization of 52630

Now multiplying the highest exponent prime factors to calculate the LCM of 52625 and 52630.

LCM(52625,52630) = 5³ × 421¹ × 2¹ × 19¹ × 277¹
LCM(52625,52630) = 553930750