What is the Least Common Multiple of 20416 and 20434?

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 20416 and 20434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20416 and 20434, than apply into the LCM equation.

GCF(20416,20434) = 2
LCM(20416,20434) = ( 20416 × 20434) / 2
LCM(20416,20434) = 417180544 / 2
LCM(20416,20434) = 208590272

Least Common Multiple (LCM) of 20416 and 20434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20416 and 20434. First we will calculate the prime factors of 20416 and 20434.

Prime Factorization of 20416

Prime Factorization of 20434

Now multiplying the highest exponent prime factors to calculate the LCM of 20416 and 20434.

LCM(20416,20434) = 2⁶ × 11¹ × 29¹ × 17¹ × 601¹
LCM(20416,20434) = 208590272