What is the Least Common Multiple of 35924 and 35943?

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 35924 and 35943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35924 and 35943, than apply into the LCM equation.

GCF(35924,35943) = 1
LCM(35924,35943) = ( 35924 × 35943) / 1
LCM(35924,35943) = 1291216332 / 1
LCM(35924,35943) = 1291216332

Least Common Multiple (LCM) of 35924 and 35943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35924 and 35943. First we will calculate the prime factors of 35924 and 35943.

Prime Factorization of 35924

Prime Factorization of 35943

Now multiplying the highest exponent prime factors to calculate the LCM of 35924 and 35943.

LCM(35924,35943) = 2² × 7¹ × 1283¹ × 3¹ × 11981¹
LCM(35924,35943) = 1291216332