What is the Least Common Multiple of 86060 and 86072?

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 86060 and 86072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86060 and 86072, than apply into the LCM equation.

GCF(86060,86072) = 4
LCM(86060,86072) = ( 86060 × 86072) / 4
LCM(86060,86072) = 7407356320 / 4
LCM(86060,86072) = 1851839080

Least Common Multiple (LCM) of 86060 and 86072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86060 and 86072. First we will calculate the prime factors of 86060 and 86072.

Prime Factorization of 86060

Prime Factorization of 86072

Now multiplying the highest exponent prime factors to calculate the LCM of 86060 and 86072.

LCM(86060,86072) = 2³ × 5¹ × 13¹ × 331¹ × 7¹ × 29¹ × 53¹
LCM(86060,86072) = 1851839080