What is the Least Common Multiple of 34176 and 34184?

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 34176 and 34184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34176 and 34184, than apply into the LCM equation.

GCF(34176,34184) = 8
LCM(34176,34184) = ( 34176 × 34184) / 8
LCM(34176,34184) = 1168272384 / 8
LCM(34176,34184) = 146034048

Least Common Multiple (LCM) of 34176 and 34184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34176 and 34184. First we will calculate the prime factors of 34176 and 34184.

Prime Factorization of 34176

Prime Factorization of 34184

Now multiplying the highest exponent prime factors to calculate the LCM of 34176 and 34184.

LCM(34176,34184) = 2⁷ × 3¹ × 89¹ × 4273¹
LCM(34176,34184) = 146034048