What is the Least Common Multiple of 76954 and 76966?

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 76954 and 76966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76954 and 76966, than apply into the LCM equation.

GCF(76954,76966) = 2
LCM(76954,76966) = ( 76954 × 76966) / 2
LCM(76954,76966) = 5922841564 / 2
LCM(76954,76966) = 2961420782

Least Common Multiple (LCM) of 76954 and 76966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76954 and 76966. First we will calculate the prime factors of 76954 and 76966.

Prime Factorization of 76954

Prime Factorization of 76966

Now multiplying the highest exponent prime factors to calculate the LCM of 76954 and 76966.

LCM(76954,76966) = 2¹ × 109¹ × 353¹ × 29¹ × 1327¹
LCM(76954,76966) = 2961420782