What is the Least Common Multiple of 83049 and 83065?

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 83049 and 83065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83049 and 83065, than apply into the LCM equation.

GCF(83049,83065) = 1
LCM(83049,83065) = ( 83049 × 83065) / 1
LCM(83049,83065) = 6898465185 / 1
LCM(83049,83065) = 6898465185

Least Common Multiple (LCM) of 83049 and 83065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83049 and 83065. First we will calculate the prime factors of 83049 and 83065.

Prime Factorization of 83049

Prime Factorization of 83065

Now multiplying the highest exponent prime factors to calculate the LCM of 83049 and 83065.

LCM(83049,83065) = 3¹ × 19¹ × 31¹ × 47¹ × 5¹ × 37¹ × 449¹
LCM(83049,83065) = 6898465185