What is the Least Common Multiple of 32370 and 32388?

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 32388 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 32388, than apply into the LCM equation.

GCF(32370,32388) = 6
LCM(32370,32388) = ( 32370 × 32388) / 6
LCM(32370,32388) = 1048399560 / 6
LCM(32370,32388) = 174733260

Least Common Multiple (LCM) of 32370 and 32388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32370 and 32388. First we will calculate the prime factors of 32370 and 32388.

Prime Factorization of 32370

Prime Factorization of 32388

Now multiplying the highest exponent prime factors to calculate the LCM of 32370 and 32388.

LCM(32370,32388) = 2² × 3¹ × 5¹ × 13¹ × 83¹ × 2699¹
LCM(32370,32388) = 174733260