GCF and LCM Calculator Logo

What is the Least Common Multiple of 35466 and 35470?

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 (LCM) of 35466 and 35470 is 628989510.

LCM(35466,35470) = 628989510

LCM Calculator and
and

Least Common Multiple of 35466 and 35470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35466 and 35470, than apply into the LCM equation.

GCF(35466,35470) = 2
LCM(35466,35470) = ( 35466 × 35470) / 2
LCM(35466,35470) = 1257979020 / 2
LCM(35466,35470) = 628989510

Least Common Multiple (LCM) of 35466 and 35470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35466 and 35470. First we will calculate the prime factors of 35466 and 35470.

Prime Factorization of 35466

Prime factors of 35466 are 2, 3, 23, 257. Prime factorization of 35466 in exponential form is:

35466 = 21 × 31 × 231 × 2571

Prime Factorization of 35470

Prime factors of 35470 are 2, 5, 3547. Prime factorization of 35470 in exponential form is:

35470 = 21 × 51 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 35466 and 35470.

LCM(35466,35470) = 21 × 31 × 231 × 2571 × 51 × 35471
LCM(35466,35470) = 628989510