What is the Least Common Multiple of 95405 and 95420?

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 95405 and 95420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95405 and 95420, than apply into the LCM equation.

GCF(95405,95420) = 5
LCM(95405,95420) = ( 95405 × 95420) / 5
LCM(95405,95420) = 9103545100 / 5
LCM(95405,95420) = 1820709020

Least Common Multiple (LCM) of 95405 and 95420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95405 and 95420. First we will calculate the prime factors of 95405 and 95420.

Prime Factorization of 95405

Prime Factorization of 95420

Now multiplying the highest exponent prime factors to calculate the LCM of 95405 and 95420.

LCM(95405,95420) = 5¹ × 19081¹ × 2² × 13¹ × 367¹
LCM(95405,95420) = 1820709020