What is the Least Common Multiple of 78489 and 78497?

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 78497 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 78497, than apply into the LCM equation.

GCF(78489,78497) = 1
LCM(78489,78497) = ( 78489 × 78497) / 1
LCM(78489,78497) = 6161151033 / 1
LCM(78489,78497) = 6161151033

Least Common Multiple (LCM) of 78489 and 78497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78489 and 78497. First we will calculate the prime factors of 78489 and 78497.

Prime Factorization of 78489

Prime Factorization of 78497

Now multiplying the highest exponent prime factors to calculate the LCM of 78489 and 78497.

LCM(78489,78497) = 3⁵ × 17¹ × 19¹ × 78497¹
LCM(78489,78497) = 6161151033