What is the Least Common Multiple of 95415 and 95427?

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 95415 and 95427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95415 and 95427, than apply into the LCM equation.

GCF(95415,95427) = 3
LCM(95415,95427) = ( 95415 × 95427) / 3
LCM(95415,95427) = 9105167205 / 3
LCM(95415,95427) = 3035055735

Least Common Multiple (LCM) of 95415 and 95427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95415 and 95427. First we will calculate the prime factors of 95415 and 95427.

Prime Factorization of 95415

Prime Factorization of 95427

Now multiplying the highest exponent prime factors to calculate the LCM of 95415 and 95427.

LCM(95415,95427) = 3² × 5¹ × 6361¹ × 23¹ × 461¹
LCM(95415,95427) = 3035055735