What is the Least Common Multiple of 78642 and 78651?

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 78642 and 78651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78642 and 78651, than apply into the LCM equation.

GCF(78642,78651) = 9
LCM(78642,78651) = ( 78642 × 78651) / 9
LCM(78642,78651) = 6185271942 / 9
LCM(78642,78651) = 687252438

Least Common Multiple (LCM) of 78642 and 78651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78642 and 78651. First we will calculate the prime factors of 78642 and 78651.

Prime Factorization of 78642

Prime Factorization of 78651

Now multiplying the highest exponent prime factors to calculate the LCM of 78642 and 78651.

LCM(78642,78651) = 2¹ × 3⁴ × 17¹ × 257¹ × 971¹
LCM(78642,78651) = 687252438