What is the Least Common Multiple of 83490 and 83504?

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 83490 and 83504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83490 and 83504, than apply into the LCM equation.

GCF(83490,83504) = 2
LCM(83490,83504) = ( 83490 × 83504) / 2
LCM(83490,83504) = 6971748960 / 2
LCM(83490,83504) = 3485874480

Least Common Multiple (LCM) of 83490 and 83504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83490 and 83504. First we will calculate the prime factors of 83490 and 83504.

Prime Factorization of 83490

Prime Factorization of 83504

Now multiplying the highest exponent prime factors to calculate the LCM of 83490 and 83504.

LCM(83490,83504) = 2⁴ × 3¹ × 5¹ × 11² × 23¹ × 17¹ × 307¹
LCM(83490,83504) = 3485874480