What is the Least Common Multiple of 79767 and 79785?

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 79767 and 79785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79767 and 79785, than apply into the LCM equation.

GCF(79767,79785) = 9
LCM(79767,79785) = ( 79767 × 79785) / 9
LCM(79767,79785) = 6364210095 / 9
LCM(79767,79785) = 707134455

Least Common Multiple (LCM) of 79767 and 79785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79767 and 79785. First we will calculate the prime factors of 79767 and 79785.

Prime Factorization of 79767

Prime Factorization of 79785

Now multiplying the highest exponent prime factors to calculate the LCM of 79767 and 79785.

LCM(79767,79785) = 3⁴ × 8863¹ × 5¹ × 197¹
LCM(79767,79785) = 707134455