What is the Least Common Multiple of 99628 and 99632?

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 of 99628 and 99632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99628 and 99632, than apply into the LCM equation.

GCF(99628,99632) = 4
LCM(99628,99632) = ( 99628 × 99632) / 4
LCM(99628,99632) = 9926136896 / 4
LCM(99628,99632) = 2481534224

Least Common Multiple (LCM) of 99628 and 99632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99628 and 99632. First we will calculate the prime factors of 99628 and 99632.

Prime Factorization of 99628

Prime Factorization of 99632

Now multiplying the highest exponent prime factors to calculate the LCM of 99628 and 99632.

LCM(99628,99632) = 2⁴ × 24907¹ × 13¹ × 479¹
LCM(99628,99632) = 2481534224