What is the Least Common Multiple of 83065 and 83070?

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 83065 and 83070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83065 and 83070, than apply into the LCM equation.

GCF(83065,83070) = 5
LCM(83065,83070) = ( 83065 × 83070) / 5
LCM(83065,83070) = 6900209550 / 5
LCM(83065,83070) = 1380041910

Least Common Multiple (LCM) of 83065 and 83070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83065 and 83070. First we will calculate the prime factors of 83065 and 83070.

Prime Factorization of 83065

Prime Factorization of 83070

Now multiplying the highest exponent prime factors to calculate the LCM of 83065 and 83070.

LCM(83065,83070) = 5¹ × 37¹ × 449¹ × 2¹ × 3² × 13¹ × 71¹
LCM(83065,83070) = 1380041910