What is the Least Common Multiple of 67647 and 67667?

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 67647 and 67667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67647 and 67667, than apply into the LCM equation.

GCF(67647,67667) = 1
LCM(67647,67667) = ( 67647 × 67667) / 1
LCM(67647,67667) = 4577469549 / 1
LCM(67647,67667) = 4577469549

Least Common Multiple (LCM) of 67647 and 67667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67647 and 67667. First we will calculate the prime factors of 67647 and 67667.

Prime Factorization of 67647

Prime Factorization of 67667

Now multiplying the highest exponent prime factors to calculate the LCM of 67647 and 67667.

LCM(67647,67667) = 3¹ × 22549¹ × 157¹ × 431¹
LCM(67647,67667) = 4577469549