What is the Least Common Multiple of 35344 and 35364?

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 35344 and 35364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35344 and 35364, than apply into the LCM equation.

GCF(35344,35364) = 4
LCM(35344,35364) = ( 35344 × 35364) / 4
LCM(35344,35364) = 1249905216 / 4
LCM(35344,35364) = 312476304

Least Common Multiple (LCM) of 35344 and 35364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35344 and 35364. First we will calculate the prime factors of 35344 and 35364.

Prime Factorization of 35344

Prime Factorization of 35364

Now multiplying the highest exponent prime factors to calculate the LCM of 35344 and 35364.

LCM(35344,35364) = 2⁴ × 47² × 3¹ × 7¹ × 421¹
LCM(35344,35364) = 312476304