What is the Least Common Multiple of 99015 and 99035?

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 99015 and 99035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99015 and 99035, than apply into the LCM equation.

GCF(99015,99035) = 5
LCM(99015,99035) = ( 99015 × 99035) / 5
LCM(99015,99035) = 9805950525 / 5
LCM(99015,99035) = 1961190105

Least Common Multiple (LCM) of 99015 and 99035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99015 and 99035. First we will calculate the prime factors of 99015 and 99035.

Prime Factorization of 99015

Prime Factorization of 99035

Now multiplying the highest exponent prime factors to calculate the LCM of 99015 and 99035.

LCM(99015,99035) = 3¹ × 5¹ × 7¹ × 23¹ × 41¹ × 29¹ × 683¹
LCM(99015,99035) = 1961190105