What is the Least Common Multiple of 78471 and 78489?

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 78471 and 78489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78471 and 78489, than apply into the LCM equation.

GCF(78471,78489) = 9
LCM(78471,78489) = ( 78471 × 78489) / 9
LCM(78471,78489) = 6159110319 / 9
LCM(78471,78489) = 684345591

Least Common Multiple (LCM) of 78471 and 78489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78471 and 78489. First we will calculate the prime factors of 78471 and 78489.

Prime Factorization of 78471

Prime Factorization of 78489

Now multiplying the highest exponent prime factors to calculate the LCM of 78471 and 78489.

LCM(78471,78489) = 3⁵ × 8719¹ × 17¹ × 19¹
LCM(78471,78489) = 684345591