What is the Least Common Multiple of 50070 and 50088?

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 50070 and 50088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50070 and 50088, than apply into the LCM equation.

GCF(50070,50088) = 6
LCM(50070,50088) = ( 50070 × 50088) / 6
LCM(50070,50088) = 2507906160 / 6
LCM(50070,50088) = 417984360

Least Common Multiple (LCM) of 50070 and 50088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50070 and 50088. First we will calculate the prime factors of 50070 and 50088.

Prime Factorization of 50070

Prime Factorization of 50088

Now multiplying the highest exponent prime factors to calculate the LCM of 50070 and 50088.

LCM(50070,50088) = 2³ × 3¹ × 5¹ × 1669¹ × 2087¹
LCM(50070,50088) = 417984360