What is the Least Common Multiple of 34784 and 34801?

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 34801 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 34801, than apply into the LCM equation.

GCF(34784,34801) = 1
LCM(34784,34801) = ( 34784 × 34801) / 1
LCM(34784,34801) = 1210517984 / 1
LCM(34784,34801) = 1210517984

Least Common Multiple (LCM) of 34784 and 34801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34784 and 34801. First we will calculate the prime factors of 34784 and 34801.

Prime Factorization of 34784

Prime Factorization of 34801

Now multiplying the highest exponent prime factors to calculate the LCM of 34784 and 34801.

LCM(34784,34801) = 2⁵ × 1087¹ × 13¹ × 2677¹
LCM(34784,34801) = 1210517984