What is the Least Common Multiple of 50460 and 50470?

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 50460 and 50470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50460 and 50470, than apply into the LCM equation.

GCF(50460,50470) = 10
LCM(50460,50470) = ( 50460 × 50470) / 10
LCM(50460,50470) = 2546716200 / 10
LCM(50460,50470) = 254671620

Least Common Multiple (LCM) of 50460 and 50470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50460 and 50470. First we will calculate the prime factors of 50460 and 50470.

Prime Factorization of 50460

Prime Factorization of 50470

Now multiplying the highest exponent prime factors to calculate the LCM of 50460 and 50470.

LCM(50460,50470) = 2² × 3¹ × 5¹ × 29² × 7² × 103¹
LCM(50460,50470) = 254671620