What is the Least Common Multiple of 59218 and 59226?

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 59218 and 59226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59218 and 59226, than apply into the LCM equation.

GCF(59218,59226) = 2
LCM(59218,59226) = ( 59218 × 59226) / 2
LCM(59218,59226) = 3507245268 / 2
LCM(59218,59226) = 1753622634

Least Common Multiple (LCM) of 59218 and 59226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59218 and 59226. First we will calculate the prime factors of 59218 and 59226.

Prime Factorization of 59218

Prime Factorization of 59226

Now multiplying the highest exponent prime factors to calculate the LCM of 59218 and 59226.

LCM(59218,59226) = 2¹ × 29¹ × 1021¹ × 3¹ × 9871¹
LCM(59218,59226) = 1753622634