What is the Least Common Multiple of 52425 and 52430?

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 52425 and 52430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52425 and 52430, than apply into the LCM equation.

GCF(52425,52430) = 5
LCM(52425,52430) = ( 52425 × 52430) / 5
LCM(52425,52430) = 2748642750 / 5
LCM(52425,52430) = 549728550

Least Common Multiple (LCM) of 52425 and 52430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52425 and 52430. First we will calculate the prime factors of 52425 and 52430.

Prime Factorization of 52425

Prime Factorization of 52430

Now multiplying the highest exponent prime factors to calculate the LCM of 52425 and 52430.

LCM(52425,52430) = 3² × 5² × 233¹ × 2¹ × 7² × 107¹
LCM(52425,52430) = 549728550