What is the Least Common Multiple of 59313 and 59325?

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 59313 and 59325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59313 and 59325, than apply into the LCM equation.

GCF(59313,59325) = 3
LCM(59313,59325) = ( 59313 × 59325) / 3
LCM(59313,59325) = 3518743725 / 3
LCM(59313,59325) = 1172914575

Least Common Multiple (LCM) of 59313 and 59325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59313 and 59325. First we will calculate the prime factors of 59313 and 59325.

Prime Factorization of 59313

Prime Factorization of 59325

Now multiplying the highest exponent prime factors to calculate the LCM of 59313 and 59325.

LCM(59313,59325) = 3¹ × 17¹ × 1163¹ × 5² × 7¹ × 113¹
LCM(59313,59325) = 1172914575