What is the Least Common Multiple of 78651 and 78655?

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 78651 and 78655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78651 and 78655, than apply into the LCM equation.

GCF(78651,78655) = 1
LCM(78651,78655) = ( 78651 × 78655) / 1
LCM(78651,78655) = 6186294405 / 1
LCM(78651,78655) = 6186294405

Least Common Multiple (LCM) of 78651 and 78655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78651 and 78655. First we will calculate the prime factors of 78651 and 78655.

Prime Factorization of 78651

Prime Factorization of 78655

Now multiplying the highest exponent prime factors to calculate the LCM of 78651 and 78655.

LCM(78651,78655) = 3⁴ × 971¹ × 5¹ × 15731¹
LCM(78651,78655) = 6186294405