What is the Least Common Multiple of 50270 and 50290?

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 50270 and 50290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50270 and 50290, than apply into the LCM equation.

GCF(50270,50290) = 10
LCM(50270,50290) = ( 50270 × 50290) / 10
LCM(50270,50290) = 2528078300 / 10
LCM(50270,50290) = 252807830

Least Common Multiple (LCM) of 50270 and 50290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50270 and 50290. First we will calculate the prime factors of 50270 and 50290.

Prime Factorization of 50270

Prime Factorization of 50290

Now multiplying the highest exponent prime factors to calculate the LCM of 50270 and 50290.

LCM(50270,50290) = 2¹ × 5¹ × 11¹ × 457¹ × 47¹ × 107¹
LCM(50270,50290) = 252807830