What is the Least Common Multiple of 35422 and 35429?

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 35422 and 35429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35422 and 35429, than apply into the LCM equation.

GCF(35422,35429) = 1
LCM(35422,35429) = ( 35422 × 35429) / 1
LCM(35422,35429) = 1254966038 / 1
LCM(35422,35429) = 1254966038

Least Common Multiple (LCM) of 35422 and 35429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35422 and 35429. First we will calculate the prime factors of 35422 and 35429.

Prime Factorization of 35422

Prime Factorization of 35429

Now multiplying the highest exponent prime factors to calculate the LCM of 35422 and 35429.

LCM(35422,35429) = 2¹ × 89¹ × 199¹ × 71¹ × 499¹
LCM(35422,35429) = 1254966038