What is the Least Common Multiple of 99945 and 99954?

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 99945 and 99954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99945 and 99954, than apply into the LCM equation.

GCF(99945,99954) = 9
LCM(99945,99954) = ( 99945 × 99954) / 9
LCM(99945,99954) = 9989902530 / 9
LCM(99945,99954) = 1109989170

Least Common Multiple (LCM) of 99945 and 99954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99945 and 99954. First we will calculate the prime factors of 99945 and 99954.

Prime Factorization of 99945

Prime Factorization of 99954

Now multiplying the highest exponent prime factors to calculate the LCM of 99945 and 99954.

LCM(99945,99954) = 3⁴ × 5¹ × 2221¹ × 2¹ × 617¹
LCM(99945,99954) = 1109989170