What is the Least Common Multiple of 99550 and 99562?

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 99550 and 99562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99550 and 99562, than apply into the LCM equation.

GCF(99550,99562) = 2
LCM(99550,99562) = ( 99550 × 99562) / 2
LCM(99550,99562) = 9911397100 / 2
LCM(99550,99562) = 4955698550

Least Common Multiple (LCM) of 99550 and 99562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99550 and 99562. First we will calculate the prime factors of 99550 and 99562.

Prime Factorization of 99550

Prime Factorization of 99562

Now multiplying the highest exponent prime factors to calculate the LCM of 99550 and 99562.

LCM(99550,99562) = 2¹ × 5² × 11¹ × 181¹ × 67¹ × 743¹
LCM(99550,99562) = 4955698550