What is the Least Common Multiple of 52430 and 52450?

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 52430 and 52450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52430 and 52450, than apply into the LCM equation.

GCF(52430,52450) = 10
LCM(52430,52450) = ( 52430 × 52450) / 10
LCM(52430,52450) = 2749953500 / 10
LCM(52430,52450) = 274995350

Least Common Multiple (LCM) of 52430 and 52450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52430 and 52450. First we will calculate the prime factors of 52430 and 52450.

Prime Factorization of 52430

Prime Factorization of 52450

Now multiplying the highest exponent prime factors to calculate the LCM of 52430 and 52450.

LCM(52430,52450) = 2¹ × 5² × 7² × 107¹ × 1049¹
LCM(52430,52450) = 274995350