What is the Least Common Multiple of 66896 and 66907?

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 66896 and 66907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66896 and 66907, than apply into the LCM equation.

GCF(66896,66907) = 1
LCM(66896,66907) = ( 66896 × 66907) / 1
LCM(66896,66907) = 4475810672 / 1
LCM(66896,66907) = 4475810672

Least Common Multiple (LCM) of 66896 and 66907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66896 and 66907. First we will calculate the prime factors of 66896 and 66907.

Prime Factorization of 66896

Prime Factorization of 66907

Now multiplying the highest exponent prime factors to calculate the LCM of 66896 and 66907.

LCM(66896,66907) = 2⁴ × 37¹ × 113¹ × 23¹ × 2909¹
LCM(66896,66907) = 4475810672