What is the Least Common Multiple of 99936 and 99945?

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 99936 and 99945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99936 and 99945, than apply into the LCM equation.

GCF(99936,99945) = 9
LCM(99936,99945) = ( 99936 × 99945) / 9
LCM(99936,99945) = 9988103520 / 9
LCM(99936,99945) = 1109789280

Least Common Multiple (LCM) of 99936 and 99945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99936 and 99945. First we will calculate the prime factors of 99936 and 99945.

Prime Factorization of 99936

Prime Factorization of 99945

Now multiplying the highest exponent prime factors to calculate the LCM of 99936 and 99945.

LCM(99936,99945) = 2⁵ × 3² × 347¹ × 5¹ × 2221¹
LCM(99936,99945) = 1109789280