What is the Least Common Multiple of 67488 and 67504?

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 67488 and 67504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67488 and 67504, than apply into the LCM equation.

GCF(67488,67504) = 16
LCM(67488,67504) = ( 67488 × 67504) / 16
LCM(67488,67504) = 4555709952 / 16
LCM(67488,67504) = 284731872

Least Common Multiple (LCM) of 67488 and 67504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67488 and 67504. First we will calculate the prime factors of 67488 and 67504.

Prime Factorization of 67488

Prime Factorization of 67504

Now multiplying the highest exponent prime factors to calculate the LCM of 67488 and 67504.

LCM(67488,67504) = 2⁵ × 3¹ × 19¹ × 37¹ × 4219¹
LCM(67488,67504) = 284731872