What is the Least Common Multiple of 48408 and 48416?

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 48416 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 48416, than apply into the LCM equation.

GCF(48408,48416) = 8
LCM(48408,48416) = ( 48408 × 48416) / 8
LCM(48408,48416) = 2343721728 / 8
LCM(48408,48416) = 292965216

Least Common Multiple (LCM) of 48408 and 48416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48408 and 48416. First we will calculate the prime factors of 48408 and 48416.

Prime Factorization of 48408

Prime Factorization of 48416

Now multiplying the highest exponent prime factors to calculate the LCM of 48408 and 48416.

LCM(48408,48416) = 2⁵ × 3¹ × 2017¹ × 17¹ × 89¹
LCM(48408,48416) = 292965216