What is the Least Common Multiple of 99633 and 99642?

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 99633 and 99642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99633 and 99642, than apply into the LCM equation.

GCF(99633,99642) = 3
LCM(99633,99642) = ( 99633 × 99642) / 3
LCM(99633,99642) = 9927631386 / 3
LCM(99633,99642) = 3309210462

Least Common Multiple (LCM) of 99633 and 99642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99633 and 99642. First we will calculate the prime factors of 99633 and 99642.

Prime Factorization of 99633

Prime Factorization of 99642

Now multiplying the highest exponent prime factors to calculate the LCM of 99633 and 99642.

LCM(99633,99642) = 3¹ × 33211¹ × 2¹ × 16607¹
LCM(99633,99642) = 3309210462