What is the Least Common Multiple of 35782 and 35801?

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 35782 and 35801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35782 and 35801, than apply into the LCM equation.

GCF(35782,35801) = 1
LCM(35782,35801) = ( 35782 × 35801) / 1
LCM(35782,35801) = 1281031382 / 1
LCM(35782,35801) = 1281031382

Least Common Multiple (LCM) of 35782 and 35801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35782 and 35801. First we will calculate the prime factors of 35782 and 35801.

Prime Factorization of 35782

Prime Factorization of 35801

Now multiplying the highest exponent prime factors to calculate the LCM of 35782 and 35801.

LCM(35782,35801) = 2¹ × 17891¹ × 35801¹
LCM(35782,35801) = 1281031382