What is the Least Common Multiple of 92260 and 92272?

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 92260 and 92272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92260 and 92272, than apply into the LCM equation.

GCF(92260,92272) = 4
LCM(92260,92272) = ( 92260 × 92272) / 4
LCM(92260,92272) = 8513014720 / 4
LCM(92260,92272) = 2128253680

Least Common Multiple (LCM) of 92260 and 92272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92260 and 92272. First we will calculate the prime factors of 92260 and 92272.

Prime Factorization of 92260

Prime Factorization of 92272

Now multiplying the highest exponent prime factors to calculate the LCM of 92260 and 92272.

LCM(92260,92272) = 2⁴ × 5¹ × 7¹ × 659¹ × 73¹ × 79¹
LCM(92260,92272) = 2128253680