What is the Least Common Multiple of 92905 and 92920?

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 92905 and 92920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92905 and 92920, than apply into the LCM equation.

GCF(92905,92920) = 5
LCM(92905,92920) = ( 92905 × 92920) / 5
LCM(92905,92920) = 8632732600 / 5
LCM(92905,92920) = 1726546520

Least Common Multiple (LCM) of 92905 and 92920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92905 and 92920. First we will calculate the prime factors of 92905 and 92920.

Prime Factorization of 92905

Prime Factorization of 92920

Now multiplying the highest exponent prime factors to calculate the LCM of 92905 and 92920.

LCM(92905,92920) = 5¹ × 17¹ × 1093¹ × 2³ × 23¹ × 101¹
LCM(92905,92920) = 1726546520