What is the Least Common Multiple of 86396 and 86406?

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 86396 and 86406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86396 and 86406, than apply into the LCM equation.

GCF(86396,86406) = 2
LCM(86396,86406) = ( 86396 × 86406) / 2
LCM(86396,86406) = 7465132776 / 2
LCM(86396,86406) = 3732566388

Least Common Multiple (LCM) of 86396 and 86406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86396 and 86406. First we will calculate the prime factors of 86396 and 86406.

Prime Factorization of 86396

Prime Factorization of 86406

Now multiplying the highest exponent prime factors to calculate the LCM of 86396 and 86406.

LCM(86396,86406) = 2² × 21599¹ × 3¹ × 14401¹
LCM(86396,86406) = 3732566388