What is the Least Common Multiple of 92730 and 92736?

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 92730 and 92736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92730 and 92736, than apply into the LCM equation.

GCF(92730,92736) = 6
LCM(92730,92736) = ( 92730 × 92736) / 6
LCM(92730,92736) = 8599409280 / 6
LCM(92730,92736) = 1433234880

Least Common Multiple (LCM) of 92730 and 92736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92730 and 92736. First we will calculate the prime factors of 92730 and 92736.

Prime Factorization of 92730

Prime Factorization of 92736

Now multiplying the highest exponent prime factors to calculate the LCM of 92730 and 92736.

LCM(92730,92736) = 2⁶ × 3² × 5¹ × 11¹ × 281¹ × 7¹ × 23¹
LCM(92730,92736) = 1433234880