What is the Least Common Multiple of 78688 and 78706?

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 78688 and 78706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78688 and 78706, than apply into the LCM equation.

GCF(78688,78706) = 2
LCM(78688,78706) = ( 78688 × 78706) / 2
LCM(78688,78706) = 6193217728 / 2
LCM(78688,78706) = 3096608864

Least Common Multiple (LCM) of 78688 and 78706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78688 and 78706. First we will calculate the prime factors of 78688 and 78706.

Prime Factorization of 78688

Prime Factorization of 78706

Now multiplying the highest exponent prime factors to calculate the LCM of 78688 and 78706.

LCM(78688,78706) = 2⁵ × 2459¹ × 23¹ × 29¹ × 59¹
LCM(78688,78706) = 3096608864