What is the Least Common Multiple of 95420 and 95435?

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 95420 and 95435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95420 and 95435, than apply into the LCM equation.

GCF(95420,95435) = 5
LCM(95420,95435) = ( 95420 × 95435) / 5
LCM(95420,95435) = 9106407700 / 5
LCM(95420,95435) = 1821281540

Least Common Multiple (LCM) of 95420 and 95435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95420 and 95435. First we will calculate the prime factors of 95420 and 95435.

Prime Factorization of 95420

Prime Factorization of 95435

Now multiplying the highest exponent prime factors to calculate the LCM of 95420 and 95435.

LCM(95420,95435) = 2² × 5¹ × 13¹ × 367¹ × 19087¹
LCM(95420,95435) = 1821281540