What is the Least Common Multiple of 86056 and 86060?

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 86056 and 86060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86056 and 86060, than apply into the LCM equation.

GCF(86056,86060) = 4
LCM(86056,86060) = ( 86056 × 86060) / 4
LCM(86056,86060) = 7405979360 / 4
LCM(86056,86060) = 1851494840

Least Common Multiple (LCM) of 86056 and 86060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86056 and 86060. First we will calculate the prime factors of 86056 and 86060.

Prime Factorization of 86056

Prime Factorization of 86060

Now multiplying the highest exponent prime factors to calculate the LCM of 86056 and 86060.

LCM(86056,86060) = 2³ × 31¹ × 347¹ × 5¹ × 13¹ × 331¹
LCM(86056,86060) = 1851494840