What is the Least Common Multiple of 50072 and 50080?

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 50072 and 50080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50072 and 50080, than apply into the LCM equation.

GCF(50072,50080) = 8
LCM(50072,50080) = ( 50072 × 50080) / 8
LCM(50072,50080) = 2507605760 / 8
LCM(50072,50080) = 313450720

Least Common Multiple (LCM) of 50072 and 50080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50072 and 50080. First we will calculate the prime factors of 50072 and 50080.

Prime Factorization of 50072

Prime Factorization of 50080

Now multiplying the highest exponent prime factors to calculate the LCM of 50072 and 50080.

LCM(50072,50080) = 2⁵ × 11¹ × 569¹ × 5¹ × 313¹
LCM(50072,50080) = 313450720