What is the Least Common Multiple of 34545 and 34561?

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 34545 and 34561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34545 and 34561, than apply into the LCM equation.

GCF(34545,34561) = 1
LCM(34545,34561) = ( 34545 × 34561) / 1
LCM(34545,34561) = 1193909745 / 1
LCM(34545,34561) = 1193909745

Least Common Multiple (LCM) of 34545 and 34561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34545 and 34561. First we will calculate the prime factors of 34545 and 34561.

Prime Factorization of 34545

Prime Factorization of 34561

Now multiplying the highest exponent prime factors to calculate the LCM of 34545 and 34561.

LCM(34545,34561) = 3¹ × 5¹ × 7² × 47¹ × 17¹ × 19¹ × 107¹
LCM(34545,34561) = 1193909745