What is the Least Common Multiple of 20988 and 21004?

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 20988 and 21004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20988 and 21004, than apply into the LCM equation.

GCF(20988,21004) = 4
LCM(20988,21004) = ( 20988 × 21004) / 4
LCM(20988,21004) = 440831952 / 4
LCM(20988,21004) = 110207988

Least Common Multiple (LCM) of 20988 and 21004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20988 and 21004. First we will calculate the prime factors of 20988 and 21004.

Prime Factorization of 20988

Prime Factorization of 21004

Now multiplying the highest exponent prime factors to calculate the LCM of 20988 and 21004.

LCM(20988,21004) = 2² × 3² × 11¹ × 53¹ × 59¹ × 89¹
LCM(20988,21004) = 110207988