What is the Least Common Multiple of 92226 and 92237?

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 92226 and 92237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92226 and 92237, than apply into the LCM equation.

GCF(92226,92237) = 1
LCM(92226,92237) = ( 92226 × 92237) / 1
LCM(92226,92237) = 8506649562 / 1
LCM(92226,92237) = 8506649562

Least Common Multiple (LCM) of 92226 and 92237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92226 and 92237. First we will calculate the prime factors of 92226 and 92237.

Prime Factorization of 92226

Prime Factorization of 92237

Now multiplying the highest exponent prime factors to calculate the LCM of 92226 and 92237.

LCM(92226,92237) = 2¹ × 3¹ × 19¹ × 809¹ × 92237¹
LCM(92226,92237) = 8506649562