What is the Least Common Multiple of 78934 and 78941?

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 78934 and 78941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78934 and 78941, than apply into the LCM equation.

GCF(78934,78941) = 1
LCM(78934,78941) = ( 78934 × 78941) / 1
LCM(78934,78941) = 6231128894 / 1
LCM(78934,78941) = 6231128894

Least Common Multiple (LCM) of 78934 and 78941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78934 and 78941. First we will calculate the prime factors of 78934 and 78941.

Prime Factorization of 78934

Prime Factorization of 78941

Now multiplying the highest exponent prime factors to calculate the LCM of 78934 and 78941.

LCM(78934,78941) = 2¹ × 61¹ × 647¹ × 78941¹
LCM(78934,78941) = 6231128894