What is the Least Common Multiple of 35665 and 35678?

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 35665 and 35678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35665 and 35678, than apply into the LCM equation.

GCF(35665,35678) = 1
LCM(35665,35678) = ( 35665 × 35678) / 1
LCM(35665,35678) = 1272455870 / 1
LCM(35665,35678) = 1272455870

Least Common Multiple (LCM) of 35665 and 35678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35665 and 35678. First we will calculate the prime factors of 35665 and 35678.

Prime Factorization of 35665

Prime Factorization of 35678

Now multiplying the highest exponent prime factors to calculate the LCM of 35665 and 35678.

LCM(35665,35678) = 5¹ × 7¹ × 1019¹ × 2¹ × 17839¹
LCM(35665,35678) = 1272455870