What is the Least Common Multiple of 86229 and 86244?

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 86229 and 86244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86229 and 86244, than apply into the LCM equation.

GCF(86229,86244) = 3
LCM(86229,86244) = ( 86229 × 86244) / 3
LCM(86229,86244) = 7436733876 / 3
LCM(86229,86244) = 2478911292

Least Common Multiple (LCM) of 86229 and 86244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86229 and 86244. First we will calculate the prime factors of 86229 and 86244.

Prime Factorization of 86229

Prime Factorization of 86244

Now multiplying the highest exponent prime factors to calculate the LCM of 86229 and 86244.

LCM(86229,86244) = 3² × 11¹ × 13¹ × 67¹ × 2² × 7187¹
LCM(86229,86244) = 2478911292