What is the Least Common Multiple of 78623 and 78637?

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 78623 and 78637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78623 and 78637, than apply into the LCM equation.

GCF(78623,78637) = 1
LCM(78623,78637) = ( 78623 × 78637) / 1
LCM(78623,78637) = 6182676851 / 1
LCM(78623,78637) = 6182676851

Least Common Multiple (LCM) of 78623 and 78637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78623 and 78637. First we will calculate the prime factors of 78623 and 78637.

Prime Factorization of 78623

Prime Factorization of 78637

Now multiplying the highest exponent prime factors to calculate the LCM of 78623 and 78637.

LCM(78623,78637) = 78623¹ × 13¹ × 23¹ × 263¹
LCM(78623,78637) = 6182676851