What is the Least Common Multiple of 69420 and 69433?

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 69420 and 69433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69420 and 69433, than apply into the LCM equation.

GCF(69420,69433) = 13
LCM(69420,69433) = ( 69420 × 69433) / 13
LCM(69420,69433) = 4820038860 / 13
LCM(69420,69433) = 370772220

Least Common Multiple (LCM) of 69420 and 69433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69420 and 69433. First we will calculate the prime factors of 69420 and 69433.

Prime Factorization of 69420

Prime Factorization of 69433

Now multiplying the highest exponent prime factors to calculate the LCM of 69420 and 69433.

LCM(69420,69433) = 2² × 3¹ × 5¹ × 13¹ × 89¹ × 7² × 109¹
LCM(69420,69433) = 370772220