What is the Least Common Multiple of 49344 and 49360?

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 49344 and 49360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49344 and 49360, than apply into the LCM equation.

GCF(49344,49360) = 16
LCM(49344,49360) = ( 49344 × 49360) / 16
LCM(49344,49360) = 2435619840 / 16
LCM(49344,49360) = 152226240

Least Common Multiple (LCM) of 49344 and 49360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49344 and 49360. First we will calculate the prime factors of 49344 and 49360.

Prime Factorization of 49344

Prime Factorization of 49360

Now multiplying the highest exponent prime factors to calculate the LCM of 49344 and 49360.

LCM(49344,49360) = 2⁶ × 3¹ × 257¹ × 5¹ × 617¹
LCM(49344,49360) = 152226240