What is the Least Common Multiple of 83890 and 83901?

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 83890 and 83901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83890 and 83901, than apply into the LCM equation.

GCF(83890,83901) = 1
LCM(83890,83901) = ( 83890 × 83901) / 1
LCM(83890,83901) = 7038454890 / 1
LCM(83890,83901) = 7038454890

Least Common Multiple (LCM) of 83890 and 83901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83890 and 83901. First we will calculate the prime factors of 83890 and 83901.

Prime Factorization of 83890

Prime Factorization of 83901

Now multiplying the highest exponent prime factors to calculate the LCM of 83890 and 83901.

LCM(83890,83901) = 2¹ × 5¹ × 8389¹ × 3¹ × 27967¹
LCM(83890,83901) = 7038454890