What is the Least Common Multiple of 34780 and 34797?

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 34797 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 34797, than apply into the LCM equation.

GCF(34780,34797) = 1
LCM(34780,34797) = ( 34780 × 34797) / 1
LCM(34780,34797) = 1210239660 / 1
LCM(34780,34797) = 1210239660

Least Common Multiple (LCM) of 34780 and 34797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34780 and 34797. First we will calculate the prime factors of 34780 and 34797.

Prime Factorization of 34780

Prime Factorization of 34797

Now multiplying the highest exponent prime factors to calculate the LCM of 34780 and 34797.

LCM(34780,34797) = 2² × 5¹ × 37¹ × 47¹ × 3¹ × 7¹ × 1657¹
LCM(34780,34797) = 1210239660