What is the Least Common Multiple of 83909 and 83920?

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 83909 and 83920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83909 and 83920, than apply into the LCM equation.

GCF(83909,83920) = 1
LCM(83909,83920) = ( 83909 × 83920) / 1
LCM(83909,83920) = 7041643280 / 1
LCM(83909,83920) = 7041643280

Least Common Multiple (LCM) of 83909 and 83920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83909 and 83920. First we will calculate the prime factors of 83909 and 83920.

Prime Factorization of 83909

Prime Factorization of 83920

Now multiplying the highest exponent prime factors to calculate the LCM of 83909 and 83920.

LCM(83909,83920) = 7¹ × 11987¹ × 2⁴ × 5¹ × 1049¹
LCM(83909,83920) = 7041643280