What is the Least Common Multiple of 83034 and 83049?

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 83034 and 83049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83034 and 83049, than apply into the LCM equation.

GCF(83034,83049) = 3
LCM(83034,83049) = ( 83034 × 83049) / 3
LCM(83034,83049) = 6895890666 / 3
LCM(83034,83049) = 2298630222

Least Common Multiple (LCM) of 83034 and 83049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83034 and 83049. First we will calculate the prime factors of 83034 and 83049.

Prime Factorization of 83034

Prime Factorization of 83049

Now multiplying the highest exponent prime factors to calculate the LCM of 83034 and 83049.

LCM(83034,83049) = 2¹ × 3² × 7¹ × 659¹ × 19¹ × 31¹ × 47¹
LCM(83034,83049) = 2298630222