What is the Least Common Multiple of 32949 and 32966?

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 32949 and 32966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32949 and 32966, than apply into the LCM equation.

GCF(32949,32966) = 1
LCM(32949,32966) = ( 32949 × 32966) / 1
LCM(32949,32966) = 1086196734 / 1
LCM(32949,32966) = 1086196734

Least Common Multiple (LCM) of 32949 and 32966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32949 and 32966. First we will calculate the prime factors of 32949 and 32966.

Prime Factorization of 32949

Prime Factorization of 32966

Now multiplying the highest exponent prime factors to calculate the LCM of 32949 and 32966.

LCM(32949,32966) = 3² × 7¹ × 523¹ × 2¹ × 53¹ × 311¹
LCM(32949,32966) = 1086196734