GCF and LCM Calculator Logo

What is the Least Common Multiple of 99798 and 99815?

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 99798 and 99815 is 9961337370.

LCM(99798,99815) = 9961337370

LCM Calculator and
and

Least Common Multiple of 99798 and 99815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99798 and 99815, than apply into the LCM equation.

GCF(99798,99815) = 1
LCM(99798,99815) = ( 99798 × 99815) / 1
LCM(99798,99815) = 9961337370 / 1
LCM(99798,99815) = 9961337370

Least Common Multiple (LCM) of 99798 and 99815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99798 and 99815. First we will calculate the prime factors of 99798 and 99815.

Prime Factorization of 99798

Prime factors of 99798 are 2, 3, 16633. Prime factorization of 99798 in exponential form is:

99798 = 21 × 31 × 166331

Prime Factorization of 99815

Prime factors of 99815 are 5, 19963. Prime factorization of 99815 in exponential form is:

99815 = 51 × 199631

Now multiplying the highest exponent prime factors to calculate the LCM of 99798 and 99815.

LCM(99798,99815) = 21 × 31 × 166331 × 51 × 199631
LCM(99798,99815) = 9961337370