What is the Least Common Multiple of 21186 and 21203?

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 21186 and 21203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21186 and 21203, than apply into the LCM equation.

GCF(21186,21203) = 1
LCM(21186,21203) = ( 21186 × 21203) / 1
LCM(21186,21203) = 449206758 / 1
LCM(21186,21203) = 449206758

Least Common Multiple (LCM) of 21186 and 21203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21186 and 21203. First we will calculate the prime factors of 21186 and 21203.

Prime Factorization of 21186

Prime Factorization of 21203

Now multiplying the highest exponent prime factors to calculate the LCM of 21186 and 21203.

LCM(21186,21203) = 2¹ × 3² × 11¹ × 107¹ × 7¹ × 13¹ × 233¹
LCM(21186,21203) = 449206758