What is the Least Common Multiple of 59304 and 59318?

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 59304 and 59318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59304 and 59318, than apply into the LCM equation.

GCF(59304,59318) = 14
LCM(59304,59318) = ( 59304 × 59318) / 14
LCM(59304,59318) = 3517794672 / 14
LCM(59304,59318) = 251271048

Least Common Multiple (LCM) of 59304 and 59318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59304 and 59318. First we will calculate the prime factors of 59304 and 59318.

Prime Factorization of 59304

Prime Factorization of 59318

Now multiplying the highest exponent prime factors to calculate the LCM of 59304 and 59318.

LCM(59304,59318) = 2³ × 3¹ × 7¹ × 353¹ × 19¹ × 223¹
LCM(59304,59318) = 251271048