What is the Least Common Multiple of 21053 and 21071?

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 21053 and 21071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21053 and 21071, than apply into the LCM equation.

GCF(21053,21071) = 1
LCM(21053,21071) = ( 21053 × 21071) / 1
LCM(21053,21071) = 443607763 / 1
LCM(21053,21071) = 443607763

Least Common Multiple (LCM) of 21053 and 21071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21053 and 21071. First we will calculate the prime factors of 21053 and 21071.

Prime Factorization of 21053

Prime Factorization of 21071

Now multiplying the highest exponent prime factors to calculate the LCM of 21053 and 21071.

LCM(21053,21071) = 37¹ × 569¹ × 19¹ × 1109¹
LCM(21053,21071) = 443607763