What is the Least Common Multiple of 49212 and 49221?

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 49212 and 49221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49212 and 49221, than apply into the LCM equation.

GCF(49212,49221) = 9
LCM(49212,49221) = ( 49212 × 49221) / 9
LCM(49212,49221) = 2422263852 / 9
LCM(49212,49221) = 269140428

Least Common Multiple (LCM) of 49212 and 49221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49212 and 49221. First we will calculate the prime factors of 49212 and 49221.

Prime Factorization of 49212

Prime Factorization of 49221

Now multiplying the highest exponent prime factors to calculate the LCM of 49212 and 49221.

LCM(49212,49221) = 2² × 3³ × 1367¹ × 1823¹
LCM(49212,49221) = 269140428