What is the Least Common Multiple of 35376 and 35385?

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 35376 and 35385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35376 and 35385, than apply into the LCM equation.

GCF(35376,35385) = 3
LCM(35376,35385) = ( 35376 × 35385) / 3
LCM(35376,35385) = 1251779760 / 3
LCM(35376,35385) = 417259920

Least Common Multiple (LCM) of 35376 and 35385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35376 and 35385. First we will calculate the prime factors of 35376 and 35385.

Prime Factorization of 35376

Prime Factorization of 35385

Now multiplying the highest exponent prime factors to calculate the LCM of 35376 and 35385.

LCM(35376,35385) = 2⁴ × 3¹ × 11¹ × 67¹ × 5¹ × 7¹ × 337¹
LCM(35376,35385) = 417259920