What is the Least Common Multiple of 50040 and 50048?

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 50040 and 50048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50040 and 50048, than apply into the LCM equation.

GCF(50040,50048) = 8
LCM(50040,50048) = ( 50040 × 50048) / 8
LCM(50040,50048) = 2504401920 / 8
LCM(50040,50048) = 313050240

Least Common Multiple (LCM) of 50040 and 50048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50040 and 50048. First we will calculate the prime factors of 50040 and 50048.

Prime Factorization of 50040

Prime Factorization of 50048

Now multiplying the highest exponent prime factors to calculate the LCM of 50040 and 50048.

LCM(50040,50048) = 2⁷ × 3² × 5¹ × 139¹ × 17¹ × 23¹
LCM(50040,50048) = 313050240