What is the Least Common Multiple of 78489 and 78507?

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 78489 and 78507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78489 and 78507, than apply into the LCM equation.

GCF(78489,78507) = 9
LCM(78489,78507) = ( 78489 × 78507) / 9
LCM(78489,78507) = 6161935923 / 9
LCM(78489,78507) = 684659547

Least Common Multiple (LCM) of 78489 and 78507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78489 and 78507. First we will calculate the prime factors of 78489 and 78507.

Prime Factorization of 78489

Prime Factorization of 78507

Now multiplying the highest exponent prime factors to calculate the LCM of 78489 and 78507.

LCM(78489,78507) = 3⁵ × 17¹ × 19¹ × 11¹ × 13¹ × 61¹
LCM(78489,78507) = 684659547