What is the Least Common Multiple of 34142 and 34153?

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 34142 and 34153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34142 and 34153, than apply into the LCM equation.

GCF(34142,34153) = 1
LCM(34142,34153) = ( 34142 × 34153) / 1
LCM(34142,34153) = 1166051726 / 1
LCM(34142,34153) = 1166051726

Least Common Multiple (LCM) of 34142 and 34153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34142 and 34153. First we will calculate the prime factors of 34142 and 34153.

Prime Factorization of 34142

Prime Factorization of 34153

Now multiplying the highest exponent prime factors to calculate the LCM of 34142 and 34153.

LCM(34142,34153) = 2¹ × 43¹ × 397¹ × 7² × 17¹ × 41¹
LCM(34142,34153) = 1166051726