What is the Least Common Multiple of 34789 and 34808?

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 34789 and 34808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34789 and 34808, than apply into the LCM equation.

GCF(34789,34808) = 19
LCM(34789,34808) = ( 34789 × 34808) / 19
LCM(34789,34808) = 1210935512 / 19
LCM(34789,34808) = 63733448

Least Common Multiple (LCM) of 34789 and 34808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34789 and 34808. First we will calculate the prime factors of 34789 and 34808.

Prime Factorization of 34789

Prime Factorization of 34808

Now multiplying the highest exponent prime factors to calculate the LCM of 34789 and 34808.

LCM(34789,34808) = 19¹ × 1831¹ × 2³ × 229¹
LCM(34789,34808) = 63733448