GCF and LCM Calculator Logo

What is the Least Common Multiple of 99475 and 99479?

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 99475 and 99479 is 9895673525.

LCM(99475,99479) = 9895673525

LCM Calculator and
and

Least Common Multiple of 99475 and 99479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99475 and 99479, than apply into the LCM equation.

GCF(99475,99479) = 1
LCM(99475,99479) = ( 99475 × 99479) / 1
LCM(99475,99479) = 9895673525 / 1
LCM(99475,99479) = 9895673525

Least Common Multiple (LCM) of 99475 and 99479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99475 and 99479. First we will calculate the prime factors of 99475 and 99479.

Prime Factorization of 99475

Prime factors of 99475 are 5, 23, 173. Prime factorization of 99475 in exponential form is:

99475 = 52 × 231 × 1731

Prime Factorization of 99479

Prime factors of 99479 are 31, 3209. Prime factorization of 99479 in exponential form is:

99479 = 311 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 99475 and 99479.

LCM(99475,99479) = 52 × 231 × 1731 × 311 × 32091
LCM(99475,99479) = 9895673525