What is the Least Common Multiple of 20984 and 20998?

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 20984 and 20998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20984 and 20998, than apply into the LCM equation.

GCF(20984,20998) = 2
LCM(20984,20998) = ( 20984 × 20998) / 2
LCM(20984,20998) = 440622032 / 2
LCM(20984,20998) = 220311016

Least Common Multiple (LCM) of 20984 and 20998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20984 and 20998. First we will calculate the prime factors of 20984 and 20998.

Prime Factorization of 20984

Prime Factorization of 20998

Now multiplying the highest exponent prime factors to calculate the LCM of 20984 and 20998.

LCM(20984,20998) = 2³ × 43¹ × 61¹ × 10499¹
LCM(20984,20998) = 220311016