What is the Least Common Multiple of 20850 and 20864?

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 20850 and 20864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20850 and 20864, than apply into the LCM equation.

GCF(20850,20864) = 2
LCM(20850,20864) = ( 20850 × 20864) / 2
LCM(20850,20864) = 435014400 / 2
LCM(20850,20864) = 217507200

Least Common Multiple (LCM) of 20850 and 20864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20850 and 20864. First we will calculate the prime factors of 20850 and 20864.

Prime Factorization of 20850

Prime Factorization of 20864

Now multiplying the highest exponent prime factors to calculate the LCM of 20850 and 20864.

LCM(20850,20864) = 2⁷ × 3¹ × 5² × 139¹ × 163¹
LCM(20850,20864) = 217507200