What is the Least Common Multiple of 92430 and 92446?

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 92430 and 92446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92430 and 92446, than apply into the LCM equation.

GCF(92430,92446) = 2
LCM(92430,92446) = ( 92430 × 92446) / 2
LCM(92430,92446) = 8544783780 / 2
LCM(92430,92446) = 4272391890

Least Common Multiple (LCM) of 92430 and 92446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92430 and 92446. First we will calculate the prime factors of 92430 and 92446.

Prime Factorization of 92430

Prime Factorization of 92446

Now multiplying the highest exponent prime factors to calculate the LCM of 92430 and 92446.

LCM(92430,92446) = 2¹ × 3² × 5¹ × 13¹ × 79¹ × 17¹ × 2719¹
LCM(92430,92446) = 4272391890