What is the Least Common Multiple of 59398 and 59415?

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 59398 and 59415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59398 and 59415, than apply into the LCM equation.

GCF(59398,59415) = 17
LCM(59398,59415) = ( 59398 × 59415) / 17
LCM(59398,59415) = 3529132170 / 17
LCM(59398,59415) = 207596010

Least Common Multiple (LCM) of 59398 and 59415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59398 and 59415. First we will calculate the prime factors of 59398 and 59415.

Prime Factorization of 59398

Prime Factorization of 59415

Now multiplying the highest exponent prime factors to calculate the LCM of 59398 and 59415.

LCM(59398,59415) = 2¹ × 17¹ × 1747¹ × 3¹ × 5¹ × 233¹
LCM(59398,59415) = 207596010