What is the Least Common Multiple of 21140 and 21151?

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 21140 and 21151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21140 and 21151, than apply into the LCM equation.

GCF(21140,21151) = 1
LCM(21140,21151) = ( 21140 × 21151) / 1
LCM(21140,21151) = 447132140 / 1
LCM(21140,21151) = 447132140

Least Common Multiple (LCM) of 21140 and 21151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21140 and 21151. First we will calculate the prime factors of 21140 and 21151.

Prime Factorization of 21140

Prime Factorization of 21151

Now multiplying the highest exponent prime factors to calculate the LCM of 21140 and 21151.

LCM(21140,21151) = 2² × 5¹ × 7¹ × 151¹ × 13¹ × 1627¹
LCM(21140,21151) = 447132140