What is the Least Common Multiple of 86415 and 86430?

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 86415 and 86430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86415 and 86430, than apply into the LCM equation.

GCF(86415,86430) = 15
LCM(86415,86430) = ( 86415 × 86430) / 15
LCM(86415,86430) = 7468848450 / 15
LCM(86415,86430) = 497923230

Least Common Multiple (LCM) of 86415 and 86430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86415 and 86430. First we will calculate the prime factors of 86415 and 86430.

Prime Factorization of 86415

Prime Factorization of 86430

Now multiplying the highest exponent prime factors to calculate the LCM of 86415 and 86430.

LCM(86415,86430) = 3¹ × 5¹ × 7¹ × 823¹ × 2¹ × 43¹ × 67¹
LCM(86415,86430) = 497923230