What is the Least Common Multiple of 66944 and 66954?

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 66944 and 66954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66944 and 66954, than apply into the LCM equation.

GCF(66944,66954) = 2
LCM(66944,66954) = ( 66944 × 66954) / 2
LCM(66944,66954) = 4482168576 / 2
LCM(66944,66954) = 2241084288

Least Common Multiple (LCM) of 66944 and 66954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66944 and 66954. First we will calculate the prime factors of 66944 and 66954.

Prime Factorization of 66944

Prime Factorization of 66954

Now multiplying the highest exponent prime factors to calculate the LCM of 66944 and 66954.

LCM(66944,66954) = 2⁷ × 523¹ × 3¹ × 11159¹
LCM(66944,66954) = 2241084288