What is the Least Common Multiple of 52419 and 52425?

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 52419 and 52425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52419 and 52425, than apply into the LCM equation.

GCF(52419,52425) = 3
LCM(52419,52425) = ( 52419 × 52425) / 3
LCM(52419,52425) = 2748066075 / 3
LCM(52419,52425) = 916022025

Least Common Multiple (LCM) of 52419 and 52425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52419 and 52425. First we will calculate the prime factors of 52419 and 52425.

Prime Factorization of 52419

Prime Factorization of 52425

Now multiplying the highest exponent prime factors to calculate the LCM of 52419 and 52425.

LCM(52419,52425) = 3² × 101¹ × 173¹ × 5² × 233¹
LCM(52419,52425) = 916022025