What is the Least Common Multiple of 92560 and 92574?

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 92560 and 92574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92560 and 92574, than apply into the LCM equation.

GCF(92560,92574) = 2
LCM(92560,92574) = ( 92560 × 92574) / 2
LCM(92560,92574) = 8568649440 / 2
LCM(92560,92574) = 4284324720

Least Common Multiple (LCM) of 92560 and 92574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92560 and 92574. First we will calculate the prime factors of 92560 and 92574.

Prime Factorization of 92560

Prime Factorization of 92574

Now multiplying the highest exponent prime factors to calculate the LCM of 92560 and 92574.

LCM(92560,92574) = 2⁴ × 5¹ × 13¹ × 89¹ × 3² × 37¹ × 139¹
LCM(92560,92574) = 4284324720