What is the Least Common Multiple of 92268 and 92280?

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 92268 and 92280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92268 and 92280, than apply into the LCM equation.

GCF(92268,92280) = 12
LCM(92268,92280) = ( 92268 × 92280) / 12
LCM(92268,92280) = 8514491040 / 12
LCM(92268,92280) = 709540920

Least Common Multiple (LCM) of 92268 and 92280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92268 and 92280. First we will calculate the prime factors of 92268 and 92280.

Prime Factorization of 92268

Prime Factorization of 92280

Now multiplying the highest exponent prime factors to calculate the LCM of 92268 and 92280.

LCM(92268,92280) = 2³ × 3² × 11¹ × 233¹ × 5¹ × 769¹
LCM(92268,92280) = 709540920