What is the Least Common Multiple of 83488 and 83494?

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 83488 and 83494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83488 and 83494, than apply into the LCM equation.

GCF(83488,83494) = 2
LCM(83488,83494) = ( 83488 × 83494) / 2
LCM(83488,83494) = 6970747072 / 2
LCM(83488,83494) = 3485373536

Least Common Multiple (LCM) of 83488 and 83494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83488 and 83494. First we will calculate the prime factors of 83488 and 83494.

Prime Factorization of 83488

Prime Factorization of 83494

Now multiplying the highest exponent prime factors to calculate the LCM of 83488 and 83494.

LCM(83488,83494) = 2⁵ × 2609¹ × 109¹ × 383¹
LCM(83488,83494) = 3485373536