What is the Least Common Multiple of 92349 and 92355?

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 92349 and 92355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92349 and 92355, than apply into the LCM equation.

GCF(92349,92355) = 3
LCM(92349,92355) = ( 92349 × 92355) / 3
LCM(92349,92355) = 8528891895 / 3
LCM(92349,92355) = 2842963965

Least Common Multiple (LCM) of 92349 and 92355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92349 and 92355. First we will calculate the prime factors of 92349 and 92355.

Prime Factorization of 92349

Prime Factorization of 92355

Now multiplying the highest exponent prime factors to calculate the LCM of 92349 and 92355.

LCM(92349,92355) = 3² × 31¹ × 331¹ × 5¹ × 47¹ × 131¹
LCM(92349,92355) = 2842963965