What is the Least Common Multiple of 93145 and 93158?

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 93145 and 93158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93145 and 93158, than apply into the LCM equation.

GCF(93145,93158) = 13
LCM(93145,93158) = ( 93145 × 93158) / 13
LCM(93145,93158) = 8677201910 / 13
LCM(93145,93158) = 667477070

Least Common Multiple (LCM) of 93145 and 93158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93145 and 93158. First we will calculate the prime factors of 93145 and 93158.

Prime Factorization of 93145

Prime Factorization of 93158

Now multiplying the highest exponent prime factors to calculate the LCM of 93145 and 93158.

LCM(93145,93158) = 5¹ × 13¹ × 1433¹ × 2¹ × 3583¹
LCM(93145,93158) = 667477070