What is the Least Common Multiple of 34546 and 34565?

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 34546 and 34565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34546 and 34565, than apply into the LCM equation.

GCF(34546,34565) = 1
LCM(34546,34565) = ( 34546 × 34565) / 1
LCM(34546,34565) = 1194082490 / 1
LCM(34546,34565) = 1194082490

Least Common Multiple (LCM) of 34546 and 34565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34546 and 34565. First we will calculate the prime factors of 34546 and 34565.

Prime Factorization of 34546

Prime Factorization of 34565

Now multiplying the highest exponent prime factors to calculate the LCM of 34546 and 34565.

LCM(34546,34565) = 2¹ × 23¹ × 751¹ × 5¹ × 31¹ × 223¹
LCM(34546,34565) = 1194082490