What is the Least Common Multiple of 20049 and 20064?

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 20049 and 20064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20049 and 20064, than apply into the LCM equation.

GCF(20049,20064) = 3
LCM(20049,20064) = ( 20049 × 20064) / 3
LCM(20049,20064) = 402263136 / 3
LCM(20049,20064) = 134087712

Least Common Multiple (LCM) of 20049 and 20064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20049 and 20064. First we will calculate the prime factors of 20049 and 20064.

Prime Factorization of 20049

Prime Factorization of 20064

Now multiplying the highest exponent prime factors to calculate the LCM of 20049 and 20064.

LCM(20049,20064) = 3¹ × 41¹ × 163¹ × 2⁵ × 11¹ × 19¹
LCM(20049,20064) = 134087712