What is the Least Common Multiple of 86244 and 86251?

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 86244 and 86251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86244 and 86251, than apply into the LCM equation.

GCF(86244,86251) = 1
LCM(86244,86251) = ( 86244 × 86251) / 1
LCM(86244,86251) = 7438631244 / 1
LCM(86244,86251) = 7438631244

Least Common Multiple (LCM) of 86244 and 86251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86244 and 86251. First we will calculate the prime factors of 86244 and 86251.

Prime Factorization of 86244

Prime Factorization of 86251

Now multiplying the highest exponent prime factors to calculate the LCM of 86244 and 86251.

LCM(86244,86251) = 2² × 3¹ × 7187¹ × 11¹ × 7841¹
LCM(86244,86251) = 7438631244