What is the Least Common Multiple of 21225 and 21244?

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 21225 and 21244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21225 and 21244, than apply into the LCM equation.

GCF(21225,21244) = 1
LCM(21225,21244) = ( 21225 × 21244) / 1
LCM(21225,21244) = 450903900 / 1
LCM(21225,21244) = 450903900

Least Common Multiple (LCM) of 21225 and 21244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21225 and 21244. First we will calculate the prime factors of 21225 and 21244.

Prime Factorization of 21225

Prime Factorization of 21244

Now multiplying the highest exponent prime factors to calculate the LCM of 21225 and 21244.

LCM(21225,21244) = 3¹ × 5² × 283¹ × 2² × 47¹ × 113¹
LCM(21225,21244) = 450903900