What is the Least Common Multiple of 21145 and 21153?

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 21145 and 21153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21145 and 21153, than apply into the LCM equation.

GCF(21145,21153) = 1
LCM(21145,21153) = ( 21145 × 21153) / 1
LCM(21145,21153) = 447280185 / 1
LCM(21145,21153) = 447280185

Least Common Multiple (LCM) of 21145 and 21153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21145 and 21153. First we will calculate the prime factors of 21145 and 21153.

Prime Factorization of 21145

Prime Factorization of 21153

Now multiplying the highest exponent prime factors to calculate the LCM of 21145 and 21153.

LCM(21145,21153) = 5¹ × 4229¹ × 3¹ × 11¹ × 641¹
LCM(21145,21153) = 447280185