What is the Least Common Multiple of 83545 and 83557?

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 83545 and 83557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83545 and 83557, than apply into the LCM equation.

GCF(83545,83557) = 1
LCM(83545,83557) = ( 83545 × 83557) / 1
LCM(83545,83557) = 6980769565 / 1
LCM(83545,83557) = 6980769565

Least Common Multiple (LCM) of 83545 and 83557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83545 and 83557. First we will calculate the prime factors of 83545 and 83557.

Prime Factorization of 83545

Prime Factorization of 83557

Now multiplying the highest exponent prime factors to calculate the LCM of 83545 and 83557.

LCM(83545,83557) = 5¹ × 7² × 11¹ × 31¹ × 83557¹
LCM(83545,83557) = 6980769565