What is the Least Common Multiple of 69309 and 69314?

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 69309 and 69314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69309 and 69314, than apply into the LCM equation.

GCF(69309,69314) = 1
LCM(69309,69314) = ( 69309 × 69314) / 1
LCM(69309,69314) = 4804084026 / 1
LCM(69309,69314) = 4804084026

Least Common Multiple (LCM) of 69309 and 69314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69309 and 69314. First we will calculate the prime factors of 69309 and 69314.

Prime Factorization of 69309

Prime Factorization of 69314

Now multiplying the highest exponent prime factors to calculate the LCM of 69309 and 69314.

LCM(69309,69314) = 3³ × 17¹ × 151¹ × 2¹ × 7¹ × 4951¹
LCM(69309,69314) = 4804084026