What is the Least Common Multiple of 79785 and 79799?

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 79799 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 79799, than apply into the LCM equation.

GCF(79785,79799) = 1
LCM(79785,79799) = ( 79785 × 79799) / 1
LCM(79785,79799) = 6366763215 / 1
LCM(79785,79799) = 6366763215

Least Common Multiple (LCM) of 79785 and 79799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79799. First we will calculate the prime factors of 79785 and 79799.

Prime Factorization of 79785

Prime Factorization of 79799

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79799.

LCM(79785,79799) = 3⁴ × 5¹ × 197¹ × 199¹ × 401¹
LCM(79785,79799) = 6366763215