What is the Least Common Multiple of 86023 and 86037?

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 86023 and 86037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86023 and 86037, than apply into the LCM equation.

GCF(86023,86037) = 7
LCM(86023,86037) = ( 86023 × 86037) / 7
LCM(86023,86037) = 7401160851 / 7
LCM(86023,86037) = 1057308693

Least Common Multiple (LCM) of 86023 and 86037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86023 and 86037. First we will calculate the prime factors of 86023 and 86037.

Prime Factorization of 86023

Prime Factorization of 86037

Now multiplying the highest exponent prime factors to calculate the LCM of 86023 and 86037.

LCM(86023,86037) = 7¹ × 12289¹ × 3¹ × 17¹ × 241¹
LCM(86023,86037) = 1057308693