What is the Least Common Multiple of 34780 and 34789?

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 34780 and 34789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34780 and 34789, than apply into the LCM equation.

GCF(34780,34789) = 1
LCM(34780,34789) = ( 34780 × 34789) / 1
LCM(34780,34789) = 1209961420 / 1
LCM(34780,34789) = 1209961420

Least Common Multiple (LCM) of 34780 and 34789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34780 and 34789. First we will calculate the prime factors of 34780 and 34789.

Prime Factorization of 34780

Prime Factorization of 34789

Now multiplying the highest exponent prime factors to calculate the LCM of 34780 and 34789.

LCM(34780,34789) = 2² × 5¹ × 37¹ × 47¹ × 19¹ × 1831¹
LCM(34780,34789) = 1209961420