What is the Least Common Multiple of 83519 and 83535?

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 83519 and 83535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83519 and 83535, than apply into the LCM equation.

GCF(83519,83535) = 1
LCM(83519,83535) = ( 83519 × 83535) / 1
LCM(83519,83535) = 6976759665 / 1
LCM(83519,83535) = 6976759665

Least Common Multiple (LCM) of 83519 and 83535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83519 and 83535. First we will calculate the prime factors of 83519 and 83535.

Prime Factorization of 83519

Prime Factorization of 83535

Now multiplying the highest exponent prime factors to calculate the LCM of 83519 and 83535.

LCM(83519,83535) = 47¹ × 1777¹ × 3¹ × 5¹ × 5569¹
LCM(83519,83535) = 6976759665