What is the Least Common Multiple of 69105 and 69114?

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 69105 and 69114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69105 and 69114, than apply into the LCM equation.

GCF(69105,69114) = 3
LCM(69105,69114) = ( 69105 × 69114) / 3
LCM(69105,69114) = 4776122970 / 3
LCM(69105,69114) = 1592040990

Least Common Multiple (LCM) of 69105 and 69114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69105 and 69114. First we will calculate the prime factors of 69105 and 69114.

Prime Factorization of 69105

Prime Factorization of 69114

Now multiplying the highest exponent prime factors to calculate the LCM of 69105 and 69114.

LCM(69105,69114) = 3¹ × 5¹ × 17¹ × 271¹ × 2¹ × 11519¹
LCM(69105,69114) = 1592040990