What is the Least Common Multiple of 86220 and 86234?

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 86220 and 86234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86220 and 86234, than apply into the LCM equation.

GCF(86220,86234) = 2
LCM(86220,86234) = ( 86220 × 86234) / 2
LCM(86220,86234) = 7435095480 / 2
LCM(86220,86234) = 3717547740

Least Common Multiple (LCM) of 86220 and 86234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86220 and 86234. First we will calculate the prime factors of 86220 and 86234.

Prime Factorization of 86220

Prime Factorization of 86234

Now multiplying the highest exponent prime factors to calculate the LCM of 86220 and 86234.

LCM(86220,86234) = 2² × 3² × 5¹ × 479¹ × 43117¹
LCM(86220,86234) = 3717547740