What is the Least Common Multiple of 35914 and 35921?

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 35914 and 35921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35914 and 35921, than apply into the LCM equation.

GCF(35914,35921) = 1
LCM(35914,35921) = ( 35914 × 35921) / 1
LCM(35914,35921) = 1290066794 / 1
LCM(35914,35921) = 1290066794

Least Common Multiple (LCM) of 35914 and 35921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35914 and 35921. First we will calculate the prime factors of 35914 and 35921.

Prime Factorization of 35914

Prime Factorization of 35921

Now multiplying the highest exponent prime factors to calculate the LCM of 35914 and 35921.

LCM(35914,35921) = 2¹ × 17957¹ × 17¹ × 2113¹
LCM(35914,35921) = 1290066794