What is the Least Common Multiple of 83584 and 83604?

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 83584 and 83604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83584 and 83604, than apply into the LCM equation.

GCF(83584,83604) = 4
LCM(83584,83604) = ( 83584 × 83604) / 4
LCM(83584,83604) = 6987956736 / 4
LCM(83584,83604) = 1746989184

Least Common Multiple (LCM) of 83584 and 83604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83584 and 83604. First we will calculate the prime factors of 83584 and 83604.

Prime Factorization of 83584

Prime Factorization of 83604

Now multiplying the highest exponent prime factors to calculate the LCM of 83584 and 83604.

LCM(83584,83604) = 2⁷ × 653¹ × 3¹ × 6967¹
LCM(83584,83604) = 1746989184