What is the Least Common Multiple of 92272 and 92291?

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 92272 and 92291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92272 and 92291, than apply into the LCM equation.

GCF(92272,92291) = 1
LCM(92272,92291) = ( 92272 × 92291) / 1
LCM(92272,92291) = 8515875152 / 1
LCM(92272,92291) = 8515875152

Least Common Multiple (LCM) of 92272 and 92291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92272 and 92291. First we will calculate the prime factors of 92272 and 92291.

Prime Factorization of 92272

Prime Factorization of 92291

Now multiplying the highest exponent prime factors to calculate the LCM of 92272 and 92291.

LCM(92272,92291) = 2⁴ × 73¹ × 79¹ × 41¹ × 2251¹
LCM(92272,92291) = 8515875152