What is the Least Common Multiple of 87210 and 87226?

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 87210 and 87226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87210 and 87226, than apply into the LCM equation.

GCF(87210,87226) = 2
LCM(87210,87226) = ( 87210 × 87226) / 2
LCM(87210,87226) = 7606979460 / 2
LCM(87210,87226) = 3803489730

Least Common Multiple (LCM) of 87210 and 87226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87210 and 87226. First we will calculate the prime factors of 87210 and 87226.

Prime Factorization of 87210

Prime Factorization of 87226

Now multiplying the highest exponent prime factors to calculate the LCM of 87210 and 87226.

LCM(87210,87226) = 2¹ × 3³ × 5¹ × 17¹ × 19¹ × 43613¹
LCM(87210,87226) = 3803489730