What is the Least Common Multiple of 35464 and 35478?

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 35464 and 35478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35464 and 35478, than apply into the LCM equation.

GCF(35464,35478) = 2
LCM(35464,35478) = ( 35464 × 35478) / 2
LCM(35464,35478) = 1258191792 / 2
LCM(35464,35478) = 629095896

Least Common Multiple (LCM) of 35464 and 35478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35464 and 35478. First we will calculate the prime factors of 35464 and 35478.

Prime Factorization of 35464

Prime Factorization of 35478

Now multiplying the highest exponent prime factors to calculate the LCM of 35464 and 35478.

LCM(35464,35478) = 2³ × 11¹ × 13¹ × 31¹ × 3⁵ × 73¹
LCM(35464,35478) = 629095896