What is the Least Common Multiple of 93214 and 93226?

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 93214 and 93226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93214 and 93226, than apply into the LCM equation.

GCF(93214,93226) = 2
LCM(93214,93226) = ( 93214 × 93226) / 2
LCM(93214,93226) = 8689968364 / 2
LCM(93214,93226) = 4344984182

Least Common Multiple (LCM) of 93214 and 93226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93214 and 93226. First we will calculate the prime factors of 93214 and 93226.

Prime Factorization of 93214

Prime Factorization of 93226

Now multiplying the highest exponent prime factors to calculate the LCM of 93214 and 93226.

LCM(93214,93226) = 2¹ × 11¹ × 19¹ × 223¹ × 7¹ × 6659¹
LCM(93214,93226) = 4344984182