What is the Least Common Multiple of 99642 and 99655?

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 99642 and 99655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99642 and 99655, than apply into the LCM equation.

GCF(99642,99655) = 1
LCM(99642,99655) = ( 99642 × 99655) / 1
LCM(99642,99655) = 9929823510 / 1
LCM(99642,99655) = 9929823510

Least Common Multiple (LCM) of 99642 and 99655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99642 and 99655. First we will calculate the prime factors of 99642 and 99655.

Prime Factorization of 99642

Prime Factorization of 99655

Now multiplying the highest exponent prime factors to calculate the LCM of 99642 and 99655.

LCM(99642,99655) = 2¹ × 3¹ × 16607¹ × 5¹ × 19¹ × 1049¹
LCM(99642,99655) = 9929823510