What is the Least Common Multiple of 86370 and 86385?

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 86370 and 86385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86370 and 86385, than apply into the LCM equation.

GCF(86370,86385) = 15
LCM(86370,86385) = ( 86370 × 86385) / 15
LCM(86370,86385) = 7461072450 / 15
LCM(86370,86385) = 497404830

Least Common Multiple (LCM) of 86370 and 86385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86370 and 86385. First we will calculate the prime factors of 86370 and 86385.

Prime Factorization of 86370

Prime Factorization of 86385

Now multiplying the highest exponent prime factors to calculate the LCM of 86370 and 86385.

LCM(86370,86385) = 2¹ × 3¹ × 5¹ × 2879¹ × 13¹ × 443¹
LCM(86370,86385) = 497404830