What is the Least Common Multiple of 32340 and 32352?

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 32340 and 32352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32340 and 32352, than apply into the LCM equation.

GCF(32340,32352) = 12
LCM(32340,32352) = ( 32340 × 32352) / 12
LCM(32340,32352) = 1046263680 / 12
LCM(32340,32352) = 87188640

Least Common Multiple (LCM) of 32340 and 32352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32340 and 32352. First we will calculate the prime factors of 32340 and 32352.

Prime Factorization of 32340

Prime Factorization of 32352

Now multiplying the highest exponent prime factors to calculate the LCM of 32340 and 32352.

LCM(32340,32352) = 2⁵ × 3¹ × 5¹ × 7² × 11¹ × 337¹
LCM(32340,32352) = 87188640