What is the Least Common Multiple of 21075 and 21091?

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 21075 and 21091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21075 and 21091, than apply into the LCM equation.

GCF(21075,21091) = 1
LCM(21075,21091) = ( 21075 × 21091) / 1
LCM(21075,21091) = 444492825 / 1
LCM(21075,21091) = 444492825

Least Common Multiple (LCM) of 21075 and 21091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21075 and 21091. First we will calculate the prime factors of 21075 and 21091.

Prime Factorization of 21075

Prime Factorization of 21091

Now multiplying the highest exponent prime factors to calculate the LCM of 21075 and 21091.

LCM(21075,21091) = 3¹ × 5² × 281¹ × 7¹ × 23¹ × 131¹
LCM(21075,21091) = 444492825