What is the Least Common Multiple of 79685 and 79700?

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 79685 and 79700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79685 and 79700, than apply into the LCM equation.

GCF(79685,79700) = 5
LCM(79685,79700) = ( 79685 × 79700) / 5
LCM(79685,79700) = 6350894500 / 5
LCM(79685,79700) = 1270178900

Least Common Multiple (LCM) of 79685 and 79700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79685 and 79700. First we will calculate the prime factors of 79685 and 79700.

Prime Factorization of 79685

Prime Factorization of 79700

Now multiplying the highest exponent prime factors to calculate the LCM of 79685 and 79700.

LCM(79685,79700) = 5² × 15937¹ × 2² × 797¹
LCM(79685,79700) = 1270178900