What is the Least Common Multiple of 32973 and 32982?

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 32973 and 32982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32973 and 32982, than apply into the LCM equation.

GCF(32973,32982) = 3
LCM(32973,32982) = ( 32973 × 32982) / 3
LCM(32973,32982) = 1087515486 / 3
LCM(32973,32982) = 362505162

Least Common Multiple (LCM) of 32973 and 32982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32973 and 32982. First we will calculate the prime factors of 32973 and 32982.

Prime Factorization of 32973

Prime Factorization of 32982

Now multiplying the highest exponent prime factors to calculate the LCM of 32973 and 32982.

LCM(32973,32982) = 3¹ × 29¹ × 379¹ × 2¹ × 23¹ × 239¹
LCM(32973,32982) = 362505162