What is the Least Common Multiple of 83079 and 83090?

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 83079 and 83090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83079 and 83090, than apply into the LCM equation.

GCF(83079,83090) = 1
LCM(83079,83090) = ( 83079 × 83090) / 1
LCM(83079,83090) = 6903034110 / 1
LCM(83079,83090) = 6903034110

Least Common Multiple (LCM) of 83079 and 83090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83079 and 83090. First we will calculate the prime factors of 83079 and 83090.

Prime Factorization of 83079

Prime Factorization of 83090

Now multiplying the highest exponent prime factors to calculate the LCM of 83079 and 83090.

LCM(83079,83090) = 3³ × 17¹ × 181¹ × 2¹ × 5¹ × 7¹ × 1187¹
LCM(83079,83090) = 6903034110