What is the Least Common Multiple of 35666 and 35674?

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 35666 and 35674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35666 and 35674, than apply into the LCM equation.

GCF(35666,35674) = 2
LCM(35666,35674) = ( 35666 × 35674) / 2
LCM(35666,35674) = 1272348884 / 2
LCM(35666,35674) = 636174442

Least Common Multiple (LCM) of 35666 and 35674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35666 and 35674. First we will calculate the prime factors of 35666 and 35674.

Prime Factorization of 35666

Prime Factorization of 35674

Now multiplying the highest exponent prime factors to calculate the LCM of 35666 and 35674.

LCM(35666,35674) = 2¹ × 17¹ × 1049¹ × 17837¹
LCM(35666,35674) = 636174442