What is the Least Common Multiple of 6951 and 6966?

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 6951 and 6966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6951 and 6966, than apply into the LCM equation.

GCF(6951,6966) = 3
LCM(6951,6966) = ( 6951 × 6966) / 3
LCM(6951,6966) = 48420666 / 3
LCM(6951,6966) = 16140222

Least Common Multiple (LCM) of 6951 and 6966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6951 and 6966. First we will calculate the prime factors of 6951 and 6966.

Prime Factorization of 6951

Prime Factorization of 6966

Now multiplying the highest exponent prime factors to calculate the LCM of 6951 and 6966.

LCM(6951,6966) = 3⁴ × 7¹ × 331¹ × 2¹ × 43¹
LCM(6951,6966) = 16140222