What is the Least Common Multiple of 79569 and 79587?

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 79569 and 79587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79569 and 79587, than apply into the LCM equation.

GCF(79569,79587) = 9
LCM(79569,79587) = ( 79569 × 79587) / 9
LCM(79569,79587) = 6332658003 / 9
LCM(79569,79587) = 703628667

Least Common Multiple (LCM) of 79569 and 79587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79569 and 79587. First we will calculate the prime factors of 79569 and 79587.

Prime Factorization of 79569

Prime Factorization of 79587

Now multiplying the highest exponent prime factors to calculate the LCM of 79569 and 79587.

LCM(79569,79587) = 3³ × 7¹ × 421¹ × 37¹ × 239¹
LCM(79569,79587) = 703628667