What is the Least Common Multiple of 35926 and 35941?

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 35926 and 35941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35926 and 35941, than apply into the LCM equation.

GCF(35926,35941) = 1
LCM(35926,35941) = ( 35926 × 35941) / 1
LCM(35926,35941) = 1291216366 / 1
LCM(35926,35941) = 1291216366

Least Common Multiple (LCM) of 35926 and 35941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35926 and 35941. First we will calculate the prime factors of 35926 and 35941.

Prime Factorization of 35926

Prime Factorization of 35941

Now multiplying the highest exponent prime factors to calculate the LCM of 35926 and 35941.

LCM(35926,35941) = 2¹ × 11¹ × 23¹ × 71¹ × 127¹ × 283¹
LCM(35926,35941) = 1291216366