What is the Least Common Multiple of 35478 and 35490?

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 35478 and 35490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35478 and 35490, than apply into the LCM equation.

GCF(35478,35490) = 6
LCM(35478,35490) = ( 35478 × 35490) / 6
LCM(35478,35490) = 1259114220 / 6
LCM(35478,35490) = 209852370

Least Common Multiple (LCM) of 35478 and 35490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35478 and 35490. First we will calculate the prime factors of 35478 and 35490.

Prime Factorization of 35478

Prime Factorization of 35490

Now multiplying the highest exponent prime factors to calculate the LCM of 35478 and 35490.

LCM(35478,35490) = 2¹ × 3⁵ × 73¹ × 5¹ × 7¹ × 13²
LCM(35478,35490) = 209852370