What is the Least Common Multiple of 35358 and 35376?

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 35358 and 35376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35358 and 35376, than apply into the LCM equation.

GCF(35358,35376) = 6
LCM(35358,35376) = ( 35358 × 35376) / 6
LCM(35358,35376) = 1250824608 / 6
LCM(35358,35376) = 208470768

Least Common Multiple (LCM) of 35358 and 35376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35358 and 35376. First we will calculate the prime factors of 35358 and 35376.

Prime Factorization of 35358

Prime Factorization of 35376

Now multiplying the highest exponent prime factors to calculate the LCM of 35358 and 35376.

LCM(35358,35376) = 2⁴ × 3¹ × 71¹ × 83¹ × 11¹ × 67¹
LCM(35358,35376) = 208470768