What is the Least Common Multiple of 20832 and 20847?

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 20832 and 20847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20832 and 20847, than apply into the LCM equation.

GCF(20832,20847) = 3
LCM(20832,20847) = ( 20832 × 20847) / 3
LCM(20832,20847) = 434284704 / 3
LCM(20832,20847) = 144761568

Least Common Multiple (LCM) of 20832 and 20847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20832 and 20847. First we will calculate the prime factors of 20832 and 20847.

Prime Factorization of 20832

Prime Factorization of 20847

Now multiplying the highest exponent prime factors to calculate the LCM of 20832 and 20847.

LCM(20832,20847) = 2⁵ × 3¹ × 7¹ × 31¹ × 6949¹
LCM(20832,20847) = 144761568