What is the Least Common Multiple of 48408 and 48414?

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 48408 and 48414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48408 and 48414, than apply into the LCM equation.

GCF(48408,48414) = 6
LCM(48408,48414) = ( 48408 × 48414) / 6
LCM(48408,48414) = 2343624912 / 6
LCM(48408,48414) = 390604152

Least Common Multiple (LCM) of 48408 and 48414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48408 and 48414. First we will calculate the prime factors of 48408 and 48414.

Prime Factorization of 48408

Prime Factorization of 48414

Now multiplying the highest exponent prime factors to calculate the LCM of 48408 and 48414.

LCM(48408,48414) = 2³ × 3¹ × 2017¹ × 8069¹
LCM(48408,48414) = 390604152