What is the Least Common Multiple of 50280 and 50288?

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 50280 and 50288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50280 and 50288, than apply into the LCM equation.

GCF(50280,50288) = 8
LCM(50280,50288) = ( 50280 × 50288) / 8
LCM(50280,50288) = 2528480640 / 8
LCM(50280,50288) = 316060080

Least Common Multiple (LCM) of 50280 and 50288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50280 and 50288. First we will calculate the prime factors of 50280 and 50288.

Prime Factorization of 50280

Prime Factorization of 50288

Now multiplying the highest exponent prime factors to calculate the LCM of 50280 and 50288.

LCM(50280,50288) = 2⁴ × 3¹ × 5¹ × 419¹ × 7¹ × 449¹
LCM(50280,50288) = 316060080