What is the Least Common Multiple of 86228 and 86246?

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 86228 and 86246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86228 and 86246, than apply into the LCM equation.

GCF(86228,86246) = 2
LCM(86228,86246) = ( 86228 × 86246) / 2
LCM(86228,86246) = 7436820088 / 2
LCM(86228,86246) = 3718410044

Least Common Multiple (LCM) of 86228 and 86246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86228 and 86246. First we will calculate the prime factors of 86228 and 86246.

Prime Factorization of 86228

Prime Factorization of 86246

Now multiplying the highest exponent prime factors to calculate the LCM of 86228 and 86246.

LCM(86228,86246) = 2² × 21557¹ × 29¹ × 1487¹
LCM(86228,86246) = 3718410044