What is the Least Common Multiple of 32370 and 32382?

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 32370 and 32382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32370 and 32382, than apply into the LCM equation.

GCF(32370,32382) = 6
LCM(32370,32382) = ( 32370 × 32382) / 6
LCM(32370,32382) = 1048205340 / 6
LCM(32370,32382) = 174700890

Least Common Multiple (LCM) of 32370 and 32382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32370 and 32382. First we will calculate the prime factors of 32370 and 32382.

Prime Factorization of 32370

Prime Factorization of 32382

Now multiplying the highest exponent prime factors to calculate the LCM of 32370 and 32382.

LCM(32370,32382) = 2¹ × 3² × 5¹ × 13¹ × 83¹ × 7¹ × 257¹
LCM(32370,32382) = 174700890