What is the Least Common Multiple of 83045 and 83050?

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 83045 and 83050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83045 and 83050, than apply into the LCM equation.

GCF(83045,83050) = 5
LCM(83045,83050) = ( 83045 × 83050) / 5
LCM(83045,83050) = 6896887250 / 5
LCM(83045,83050) = 1379377450

Least Common Multiple (LCM) of 83045 and 83050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83045 and 83050. First we will calculate the prime factors of 83045 and 83050.

Prime Factorization of 83045

Prime Factorization of 83050

Now multiplying the highest exponent prime factors to calculate the LCM of 83045 and 83050.

LCM(83045,83050) = 5² × 17¹ × 977¹ × 2¹ × 11¹ × 151¹
LCM(83045,83050) = 1379377450