What is the Least Common Multiple of 79785 and 79795?

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 79785 and 79795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79785 and 79795, than apply into the LCM equation.

GCF(79785,79795) = 5
LCM(79785,79795) = ( 79785 × 79795) / 5
LCM(79785,79795) = 6366444075 / 5
LCM(79785,79795) = 1273288815

Least Common Multiple (LCM) of 79785 and 79795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79795. First we will calculate the prime factors of 79785 and 79795.

Prime Factorization of 79785

Prime Factorization of 79795

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79795.

LCM(79785,79795) = 3⁴ × 5¹ × 197¹ × 15959¹
LCM(79785,79795) = 1273288815