What is the Least Common Multiple of 86820 and 86840?

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 86820 and 86840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86820 and 86840, than apply into the LCM equation.

GCF(86820,86840) = 20
LCM(86820,86840) = ( 86820 × 86840) / 20
LCM(86820,86840) = 7539448800 / 20
LCM(86820,86840) = 376972440

Least Common Multiple (LCM) of 86820 and 86840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86820 and 86840. First we will calculate the prime factors of 86820 and 86840.

Prime Factorization of 86820

Prime Factorization of 86840

Now multiplying the highest exponent prime factors to calculate the LCM of 86820 and 86840.

LCM(86820,86840) = 2³ × 3¹ × 5¹ × 1447¹ × 13¹ × 167¹
LCM(86820,86840) = 376972440