What is the Least Common Multiple of 86226 and 86242?

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 86226 and 86242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86226 and 86242, than apply into the LCM equation.

GCF(86226,86242) = 2
LCM(86226,86242) = ( 86226 × 86242) / 2
LCM(86226,86242) = 7436302692 / 2
LCM(86226,86242) = 3718151346

Least Common Multiple (LCM) of 86226 and 86242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86226 and 86242. First we will calculate the prime factors of 86226 and 86242.

Prime Factorization of 86226

Prime Factorization of 86242

Now multiplying the highest exponent prime factors to calculate the LCM of 86226 and 86242.

LCM(86226,86242) = 2¹ × 3¹ × 7¹ × 2053¹ × 13¹ × 31¹ × 107¹
LCM(86226,86242) = 3718151346