What is the Least Common Multiple of 67632 and 67637?

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 67637 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 67637, than apply into the LCM equation.

GCF(67632,67637) = 1
LCM(67632,67637) = ( 67632 × 67637) / 1
LCM(67632,67637) = 4574425584 / 1
LCM(67632,67637) = 4574425584

Least Common Multiple (LCM) of 67632 and 67637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67632 and 67637. First we will calculate the prime factors of 67632 and 67637.

Prime Factorization of 67632

Prime Factorization of 67637

Now multiplying the highest exponent prime factors to calculate the LCM of 67632 and 67637.

LCM(67632,67637) = 2⁴ × 3¹ × 1409¹ × 239¹ × 283¹
LCM(67632,67637) = 4574425584