What is the Least Common Multiple of 67632 and 67646?

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 67632 and 67646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67632 and 67646, than apply into the LCM equation.

GCF(67632,67646) = 2
LCM(67632,67646) = ( 67632 × 67646) / 2
LCM(67632,67646) = 4575034272 / 2
LCM(67632,67646) = 2287517136

Least Common Multiple (LCM) of 67632 and 67646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67632 and 67646. First we will calculate the prime factors of 67632 and 67646.

Prime Factorization of 67632

Prime Factorization of 67646

Now multiplying the highest exponent prime factors to calculate the LCM of 67632 and 67646.

LCM(67632,67646) = 2⁴ × 3¹ × 1409¹ × 149¹ × 227¹
LCM(67632,67646) = 2287517136