What is the Least Common Multiple of 78665 and 78685?

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 78665 and 78685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78665 and 78685, than apply into the LCM equation.

GCF(78665,78685) = 5
LCM(78665,78685) = ( 78665 × 78685) / 5
LCM(78665,78685) = 6189755525 / 5
LCM(78665,78685) = 1237951105

Least Common Multiple (LCM) of 78665 and 78685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78665 and 78685. First we will calculate the prime factors of 78665 and 78685.

Prime Factorization of 78665

Prime Factorization of 78685

Now multiplying the highest exponent prime factors to calculate the LCM of 78665 and 78685.

LCM(78665,78685) = 5¹ × 15733¹ × 15737¹
LCM(78665,78685) = 1237951105