What is the Least Common Multiple of 34784 and 34795?

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 34784 and 34795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34784 and 34795, than apply into the LCM equation.

GCF(34784,34795) = 1
LCM(34784,34795) = ( 34784 × 34795) / 1
LCM(34784,34795) = 1210309280 / 1
LCM(34784,34795) = 1210309280

Least Common Multiple (LCM) of 34784 and 34795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34784 and 34795. First we will calculate the prime factors of 34784 and 34795.

Prime Factorization of 34784

Prime Factorization of 34795

Now multiplying the highest exponent prime factors to calculate the LCM of 34784 and 34795.

LCM(34784,34795) = 2⁵ × 1087¹ × 5¹ × 6959¹
LCM(34784,34795) = 1210309280