What is the Least Common Multiple of 78814 and 78818?

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 78814 and 78818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78814 and 78818, than apply into the LCM equation.

GCF(78814,78818) = 2
LCM(78814,78818) = ( 78814 × 78818) / 2
LCM(78814,78818) = 6211961852 / 2
LCM(78814,78818) = 3105980926

Least Common Multiple (LCM) of 78814 and 78818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78814 and 78818. First we will calculate the prime factors of 78814 and 78818.

Prime Factorization of 78814

Prime Factorization of 78818

Now multiplying the highest exponent prime factors to calculate the LCM of 78814 and 78818.

LCM(78814,78818) = 2¹ × 157¹ × 251¹ × 39409¹
LCM(78814,78818) = 3105980926