What is the Least Common Multiple of 34084 and 34092?

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 34084 and 34092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34084 and 34092, than apply into the LCM equation.

GCF(34084,34092) = 4
LCM(34084,34092) = ( 34084 × 34092) / 4
LCM(34084,34092) = 1161991728 / 4
LCM(34084,34092) = 290497932

Least Common Multiple (LCM) of 34084 and 34092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34084 and 34092. First we will calculate the prime factors of 34084 and 34092.

Prime Factorization of 34084

Prime Factorization of 34092

Now multiplying the highest exponent prime factors to calculate the LCM of 34084 and 34092.

LCM(34084,34092) = 2² × 8521¹ × 3² × 947¹
LCM(34084,34092) = 290497932