What is the Least Common Multiple of 83525 and 83533?

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 83525 and 83533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83525 and 83533, than apply into the LCM equation.

GCF(83525,83533) = 1
LCM(83525,83533) = ( 83525 × 83533) / 1
LCM(83525,83533) = 6977093825 / 1
LCM(83525,83533) = 6977093825

Least Common Multiple (LCM) of 83525 and 83533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83525 and 83533. First we will calculate the prime factors of 83525 and 83533.

Prime Factorization of 83525

Prime Factorization of 83533

Now multiplying the highest exponent prime factors to calculate the LCM of 83525 and 83533.

LCM(83525,83533) = 5² × 13¹ × 257¹ × 103¹ × 811¹
LCM(83525,83533) = 6977093825