What is the Least Common Multiple of 86202 and 86220?

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 86202 and 86220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86202 and 86220, than apply into the LCM equation.

GCF(86202,86220) = 18
LCM(86202,86220) = ( 86202 × 86220) / 18
LCM(86202,86220) = 7432336440 / 18
LCM(86202,86220) = 412907580

Least Common Multiple (LCM) of 86202 and 86220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86202 and 86220. First we will calculate the prime factors of 86202 and 86220.

Prime Factorization of 86202

Prime Factorization of 86220

Now multiplying the highest exponent prime factors to calculate the LCM of 86202 and 86220.

LCM(86202,86220) = 2² × 3² × 4789¹ × 5¹ × 479¹
LCM(86202,86220) = 412907580