What is the Least Common Multiple of 66976 and 66994?

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 66976 and 66994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66976 and 66994, than apply into the LCM equation.

GCF(66976,66994) = 2
LCM(66976,66994) = ( 66976 × 66994) / 2
LCM(66976,66994) = 4486990144 / 2
LCM(66976,66994) = 2243495072

Least Common Multiple (LCM) of 66976 and 66994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66976 and 66994. First we will calculate the prime factors of 66976 and 66994.

Prime Factorization of 66976

Prime Factorization of 66994

Now multiplying the highest exponent prime factors to calculate the LCM of 66976 and 66994.

LCM(66976,66994) = 2⁵ × 7¹ × 13¹ × 23¹ × 19¹ × 41¹ × 43¹
LCM(66976,66994) = 2243495072