What is the Least Common Multiple of 92920 and 92935?

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 92920 and 92935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92920 and 92935, than apply into the LCM equation.

GCF(92920,92935) = 5
LCM(92920,92935) = ( 92920 × 92935) / 5
LCM(92920,92935) = 8635520200 / 5
LCM(92920,92935) = 1727104040

Least Common Multiple (LCM) of 92920 and 92935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92920 and 92935. First we will calculate the prime factors of 92920 and 92935.

Prime Factorization of 92920

Prime Factorization of 92935

Now multiplying the highest exponent prime factors to calculate the LCM of 92920 and 92935.

LCM(92920,92935) = 2³ × 5¹ × 23¹ × 101¹ × 18587¹
LCM(92920,92935) = 1727104040