What is the Least Common Multiple of 86050 and 86055?

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 86050 and 86055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86050 and 86055, than apply into the LCM equation.

GCF(86050,86055) = 5
LCM(86050,86055) = ( 86050 × 86055) / 5
LCM(86050,86055) = 7405032750 / 5
LCM(86050,86055) = 1481006550

Least Common Multiple (LCM) of 86050 and 86055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86050 and 86055. First we will calculate the prime factors of 86050 and 86055.

Prime Factorization of 86050

Prime Factorization of 86055

Now multiplying the highest exponent prime factors to calculate the LCM of 86050 and 86055.

LCM(86050,86055) = 2¹ × 5² × 1721¹ × 3¹ × 5737¹
LCM(86050,86055) = 1481006550