What is the Least Common Multiple of 79785 and 79801?

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 79801 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 79801, than apply into the LCM equation.

GCF(79785,79801) = 1
LCM(79785,79801) = ( 79785 × 79801) / 1
LCM(79785,79801) = 6366922785 / 1
LCM(79785,79801) = 6366922785

Least Common Multiple (LCM) of 79785 and 79801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79801. First we will calculate the prime factors of 79785 and 79801.

Prime Factorization of 79785

Prime Factorization of 79801

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79801.

LCM(79785,79801) = 3⁴ × 5¹ × 197¹ × 79801¹
LCM(79785,79801) = 6366922785