What is the Least Common Multiple of 66935 and 66946?

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 66935 and 66946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66935 and 66946, than apply into the LCM equation.

GCF(66935,66946) = 11
LCM(66935,66946) = ( 66935 × 66946) / 11
LCM(66935,66946) = 4481030510 / 11
LCM(66935,66946) = 407366410

Least Common Multiple (LCM) of 66935 and 66946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66935 and 66946. First we will calculate the prime factors of 66935 and 66946.

Prime Factorization of 66935

Prime Factorization of 66946

Now multiplying the highest exponent prime factors to calculate the LCM of 66935 and 66946.

LCM(66935,66946) = 5¹ × 11¹ × 1217¹ × 2¹ × 17¹ × 179¹
LCM(66935,66946) = 407366410