What is the Least Common Multiple of 92340 and 92349?

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 92340 and 92349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92340 and 92349, than apply into the LCM equation.

GCF(92340,92349) = 9
LCM(92340,92349) = ( 92340 × 92349) / 9
LCM(92340,92349) = 8527506660 / 9
LCM(92340,92349) = 947500740

Least Common Multiple (LCM) of 92340 and 92349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92340 and 92349. First we will calculate the prime factors of 92340 and 92349.

Prime Factorization of 92340

Prime Factorization of 92349

Now multiplying the highest exponent prime factors to calculate the LCM of 92340 and 92349.

LCM(92340,92349) = 2² × 3⁵ × 5¹ × 19¹ × 31¹ × 331¹
LCM(92340,92349) = 947500740