What is the Least Common Multiple of 36962 and 36966?

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 36962 and 36966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36962 and 36966, than apply into the LCM equation.

GCF(36962,36966) = 2
LCM(36962,36966) = ( 36962 × 36966) / 2
LCM(36962,36966) = 1366337292 / 2
LCM(36962,36966) = 683168646

Least Common Multiple (LCM) of 36962 and 36966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36962 and 36966. First we will calculate the prime factors of 36962 and 36966.

Prime Factorization of 36962

Prime Factorization of 36966

Now multiplying the highest exponent prime factors to calculate the LCM of 36962 and 36966.

LCM(36962,36966) = 2¹ × 18481¹ × 3¹ × 61¹ × 101¹
LCM(36962,36966) = 683168646