What is the Least Common Multiple of 69099 and 69105?

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 69099 and 69105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69099 and 69105, than apply into the LCM equation.

GCF(69099,69105) = 3
LCM(69099,69105) = ( 69099 × 69105) / 3
LCM(69099,69105) = 4775086395 / 3
LCM(69099,69105) = 1591695465

Least Common Multiple (LCM) of 69099 and 69105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69099 and 69105. First we will calculate the prime factors of 69099 and 69105.

Prime Factorization of 69099

Prime Factorization of 69105

Now multiplying the highest exponent prime factors to calculate the LCM of 69099 and 69105.

LCM(69099,69105) = 3¹ × 31¹ × 743¹ × 5¹ × 17¹ × 271¹
LCM(69099,69105) = 1591695465