What is the Least Common Multiple of 59352 and 59367?

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 59352 and 59367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59352 and 59367, than apply into the LCM equation.

GCF(59352,59367) = 3
LCM(59352,59367) = ( 59352 × 59367) / 3
LCM(59352,59367) = 3523550184 / 3
LCM(59352,59367) = 1174516728

Least Common Multiple (LCM) of 59352 and 59367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59352 and 59367. First we will calculate the prime factors of 59352 and 59367.

Prime Factorization of 59352

Prime Factorization of 59367

Now multiplying the highest exponent prime factors to calculate the LCM of 59352 and 59367.

LCM(59352,59367) = 2³ × 3¹ × 2473¹ × 7¹ × 11¹ × 257¹
LCM(59352,59367) = 1174516728