What is the Least Common Multiple of 92508 and 92517?

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 92508 and 92517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92508 and 92517, than apply into the LCM equation.

GCF(92508,92517) = 3
LCM(92508,92517) = ( 92508 × 92517) / 3
LCM(92508,92517) = 8558562636 / 3
LCM(92508,92517) = 2852854212

Least Common Multiple (LCM) of 92508 and 92517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92508 and 92517. First we will calculate the prime factors of 92508 and 92517.

Prime Factorization of 92508

Prime Factorization of 92517

Now multiplying the highest exponent prime factors to calculate the LCM of 92508 and 92517.

LCM(92508,92517) = 2² × 3¹ × 13¹ × 593¹ × 30839¹
LCM(92508,92517) = 2852854212