GCF and LCM Calculator Logo

What is the Least Common Multiple of 94822 and 94835?

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 94822 and 94835 is 691726490.

LCM(94822,94835) = 691726490

LCM Calculator and
and

Least Common Multiple of 94822 and 94835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94822 and 94835, than apply into the LCM equation.

GCF(94822,94835) = 13
LCM(94822,94835) = ( 94822 × 94835) / 13
LCM(94822,94835) = 8992444370 / 13
LCM(94822,94835) = 691726490

Least Common Multiple (LCM) of 94822 and 94835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94822 and 94835. First we will calculate the prime factors of 94822 and 94835.

Prime Factorization of 94822

Prime factors of 94822 are 2, 7, 13, 521. Prime factorization of 94822 in exponential form is:

94822 = 21 × 71 × 131 × 5211

Prime Factorization of 94835

Prime factors of 94835 are 5, 13, 1459. Prime factorization of 94835 in exponential form is:

94835 = 51 × 131 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 94822 and 94835.

LCM(94822,94835) = 21 × 71 × 131 × 5211 × 51 × 14591
LCM(94822,94835) = 691726490