What is the Least Common Multiple of 99045 and 99062?

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 99045 and 99062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99045 and 99062, than apply into the LCM equation.

GCF(99045,99062) = 1
LCM(99045,99062) = ( 99045 × 99062) / 1
LCM(99045,99062) = 9811595790 / 1
LCM(99045,99062) = 9811595790

Least Common Multiple (LCM) of 99045 and 99062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99045 and 99062. First we will calculate the prime factors of 99045 and 99062.

Prime Factorization of 99045

Prime Factorization of 99062

Now multiplying the highest exponent prime factors to calculate the LCM of 99045 and 99062.

LCM(99045,99062) = 3² × 5¹ × 31¹ × 71¹ × 2¹ × 49531¹
LCM(99045,99062) = 9811595790