What is the Least Common Multiple of 35769 and 35786?

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 35769 and 35786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35769 and 35786, than apply into the LCM equation.

GCF(35769,35786) = 1
LCM(35769,35786) = ( 35769 × 35786) / 1
LCM(35769,35786) = 1280029434 / 1
LCM(35769,35786) = 1280029434

Least Common Multiple (LCM) of 35769 and 35786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35769 and 35786. First we will calculate the prime factors of 35769 and 35786.

Prime Factorization of 35769

Prime Factorization of 35786

Now multiplying the highest exponent prime factors to calculate the LCM of 35769 and 35786.

LCM(35769,35786) = 3¹ × 11923¹ × 2¹ × 29¹ × 617¹
LCM(35769,35786) = 1280029434