What is the Least Common Multiple of 35438 and 35446?

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 35438 and 35446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35438 and 35446, than apply into the LCM equation.

GCF(35438,35446) = 2
LCM(35438,35446) = ( 35438 × 35446) / 2
LCM(35438,35446) = 1256135348 / 2
LCM(35438,35446) = 628067674

Least Common Multiple (LCM) of 35438 and 35446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35438 and 35446. First we will calculate the prime factors of 35438 and 35446.

Prime Factorization of 35438

Prime Factorization of 35446

Now multiplying the highest exponent prime factors to calculate the LCM of 35438 and 35446.

LCM(35438,35446) = 2¹ × 13¹ × 29¹ × 47¹ × 37¹ × 479¹
LCM(35438,35446) = 628067674