What is the Least Common Multiple of 86292 and 86308?

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 86292 and 86308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86292 and 86308, than apply into the LCM equation.

GCF(86292,86308) = 4
LCM(86292,86308) = ( 86292 × 86308) / 4
LCM(86292,86308) = 7447689936 / 4
LCM(86292,86308) = 1861922484

Least Common Multiple (LCM) of 86292 and 86308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86292 and 86308. First we will calculate the prime factors of 86292 and 86308.

Prime Factorization of 86292

Prime Factorization of 86308

Now multiplying the highest exponent prime factors to calculate the LCM of 86292 and 86308.

LCM(86292,86308) = 2² × 3³ × 17¹ × 47¹ × 21577¹
LCM(86292,86308) = 1861922484