What is the Least Common Multiple of 67651 and 67668?

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 67651 and 67668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67651 and 67668, than apply into the LCM equation.

GCF(67651,67668) = 1
LCM(67651,67668) = ( 67651 × 67668) / 1
LCM(67651,67668) = 4577807868 / 1
LCM(67651,67668) = 4577807868

Least Common Multiple (LCM) of 67651 and 67668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67651 and 67668. First we will calculate the prime factors of 67651 and 67668.

Prime Factorization of 67651

Prime Factorization of 67668

Now multiplying the highest exponent prime factors to calculate the LCM of 67651 and 67668.

LCM(67651,67668) = 67651¹ × 2² × 3¹ × 5639¹
LCM(67651,67668) = 4577807868