What is the Least Common Multiple of 95346 and 95355?

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 95346 and 95355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95346 and 95355, than apply into the LCM equation.

GCF(95346,95355) = 9
LCM(95346,95355) = ( 95346 × 95355) / 9
LCM(95346,95355) = 9091717830 / 9
LCM(95346,95355) = 1010190870

Least Common Multiple (LCM) of 95346 and 95355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95346 and 95355. First we will calculate the prime factors of 95346 and 95355.

Prime Factorization of 95346

Prime Factorization of 95355

Now multiplying the highest exponent prime factors to calculate the LCM of 95346 and 95355.

LCM(95346,95355) = 2¹ × 3² × 5297¹ × 5¹ × 13¹ × 163¹
LCM(95346,95355) = 1010190870