What is the Least Common Multiple of 93132 and 93145?

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 93132 and 93145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93132 and 93145, than apply into the LCM equation.

GCF(93132,93145) = 13
LCM(93132,93145) = ( 93132 × 93145) / 13
LCM(93132,93145) = 8674780140 / 13
LCM(93132,93145) = 667290780

Least Common Multiple (LCM) of 93132 and 93145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93132 and 93145. First we will calculate the prime factors of 93132 and 93145.

Prime Factorization of 93132

Prime Factorization of 93145

Now multiplying the highest exponent prime factors to calculate the LCM of 93132 and 93145.

LCM(93132,93145) = 2² × 3² × 13¹ × 199¹ × 5¹ × 1433¹
LCM(93132,93145) = 667290780