GCF and LCM Calculator Logo

What is the Least Common Multiple of 99620 and 99630?

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 99620 and 99630 is 992514060.

LCM(99620,99630) = 992514060

LCM Calculator and
and

Least Common Multiple of 99620 and 99630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99620 and 99630, than apply into the LCM equation.

GCF(99620,99630) = 10
LCM(99620,99630) = ( 99620 × 99630) / 10
LCM(99620,99630) = 9925140600 / 10
LCM(99620,99630) = 992514060

Least Common Multiple (LCM) of 99620 and 99630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99620 and 99630. First we will calculate the prime factors of 99620 and 99630.

Prime Factorization of 99620

Prime factors of 99620 are 2, 5, 17, 293. Prime factorization of 99620 in exponential form is:

99620 = 22 × 51 × 171 × 2931

Prime Factorization of 99630

Prime factors of 99630 are 2, 3, 5, 41. Prime factorization of 99630 in exponential form is:

99630 = 21 × 35 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 99620 and 99630.

LCM(99620,99630) = 22 × 51 × 171 × 2931 × 35 × 411
LCM(99620,99630) = 992514060