What is the Least Common Multiple of 21184 and 21202?

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 21184 and 21202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21184 and 21202, than apply into the LCM equation.

GCF(21184,21202) = 2
LCM(21184,21202) = ( 21184 × 21202) / 2
LCM(21184,21202) = 449143168 / 2
LCM(21184,21202) = 224571584

Least Common Multiple (LCM) of 21184 and 21202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21184 and 21202. First we will calculate the prime factors of 21184 and 21202.

Prime Factorization of 21184

Prime Factorization of 21202

Now multiplying the highest exponent prime factors to calculate the LCM of 21184 and 21202.

LCM(21184,21202) = 2⁶ × 331¹ × 10601¹
LCM(21184,21202) = 224571584