What is the Least Common Multiple of 20414 and 20429?

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 20414 and 20429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20414 and 20429, than apply into the LCM equation.

GCF(20414,20429) = 1
LCM(20414,20429) = ( 20414 × 20429) / 1
LCM(20414,20429) = 417037606 / 1
LCM(20414,20429) = 417037606

Least Common Multiple (LCM) of 20414 and 20429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20414 and 20429. First we will calculate the prime factors of 20414 and 20429.

Prime Factorization of 20414

Prime Factorization of 20429

Now multiplying the highest exponent prime factors to calculate the LCM of 20414 and 20429.

LCM(20414,20429) = 2¹ × 59¹ × 173¹ × 31¹ × 659¹
LCM(20414,20429) = 417037606