What is the Least Common Multiple of 67647 and 67651?

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 67651 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 67651, than apply into the LCM equation.

GCF(67647,67651) = 1
LCM(67647,67651) = ( 67647 × 67651) / 1
LCM(67647,67651) = 4576387197 / 1
LCM(67647,67651) = 4576387197

Least Common Multiple (LCM) of 67647 and 67651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67647 and 67651. First we will calculate the prime factors of 67647 and 67651.

Prime Factorization of 67647

Prime Factorization of 67651

Now multiplying the highest exponent prime factors to calculate the LCM of 67647 and 67651.

LCM(67647,67651) = 3¹ × 22549¹ × 67651¹
LCM(67647,67651) = 4576387197