What is the Least Common Multiple of 95407 and 95423?

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 95407 and 95423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95407 and 95423, than apply into the LCM equation.

GCF(95407,95423) = 1
LCM(95407,95423) = ( 95407 × 95423) / 1
LCM(95407,95423) = 9104022161 / 1
LCM(95407,95423) = 9104022161

Least Common Multiple (LCM) of 95407 and 95423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95407 and 95423. First we will calculate the prime factors of 95407 and 95423.

Prime Factorization of 95407

Prime Factorization of 95423

Now multiplying the highest exponent prime factors to calculate the LCM of 95407 and 95423.

LCM(95407,95423) = 13¹ × 41¹ × 179¹ × 37¹ × 2579¹
LCM(95407,95423) = 9104022161