What is the Least Common Multiple of 86280 and 86300?

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 86280 and 86300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86280 and 86300, than apply into the LCM equation.

GCF(86280,86300) = 20
LCM(86280,86300) = ( 86280 × 86300) / 20
LCM(86280,86300) = 7445964000 / 20
LCM(86280,86300) = 372298200

Least Common Multiple (LCM) of 86280 and 86300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86280 and 86300. First we will calculate the prime factors of 86280 and 86300.

Prime Factorization of 86280

Prime Factorization of 86300

Now multiplying the highest exponent prime factors to calculate the LCM of 86280 and 86300.

LCM(86280,86300) = 2³ × 3¹ × 5² × 719¹ × 863¹
LCM(86280,86300) = 372298200