What is the Least Common Multiple of 88214 and 88226?

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 88214 and 88226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88214 and 88226, than apply into the LCM equation.

GCF(88214,88226) = 2
LCM(88214,88226) = ( 88214 × 88226) / 2
LCM(88214,88226) = 7782768364 / 2
LCM(88214,88226) = 3891384182

Least Common Multiple (LCM) of 88214 and 88226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88214 and 88226. First we will calculate the prime factors of 88214 and 88226.

Prime Factorization of 88214

Prime Factorization of 88226

Now multiplying the highest exponent prime factors to calculate the LCM of 88214 and 88226.

LCM(88214,88226) = 2¹ × 7¹ × 6301¹ × 31¹ × 1423¹
LCM(88214,88226) = 3891384182