What is the Least Common Multiple of 34105 and 34124?

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 34105 and 34124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34105 and 34124, than apply into the LCM equation.

GCF(34105,34124) = 19
LCM(34105,34124) = ( 34105 × 34124) / 19
LCM(34105,34124) = 1163799020 / 19
LCM(34105,34124) = 61252580

Least Common Multiple (LCM) of 34105 and 34124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34105 and 34124. First we will calculate the prime factors of 34105 and 34124.

Prime Factorization of 34105

Prime Factorization of 34124

Now multiplying the highest exponent prime factors to calculate the LCM of 34105 and 34124.

LCM(34105,34124) = 5¹ × 19¹ × 359¹ × 2² × 449¹
LCM(34105,34124) = 61252580