What is the Least Common Multiple of 32370 and 32380?

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 32380 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 32380, than apply into the LCM equation.

GCF(32370,32380) = 10
LCM(32370,32380) = ( 32370 × 32380) / 10
LCM(32370,32380) = 1048140600 / 10
LCM(32370,32380) = 104814060

Least Common Multiple (LCM) of 32370 and 32380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32370 and 32380. First we will calculate the prime factors of 32370 and 32380.

Prime Factorization of 32370

Prime Factorization of 32380

Now multiplying the highest exponent prime factors to calculate the LCM of 32370 and 32380.

LCM(32370,32380) = 2² × 3¹ × 5¹ × 13¹ × 83¹ × 1619¹
LCM(32370,32380) = 104814060