What is the Least Common Multiple of 7212 and 7221?

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 7212 and 7221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7212 and 7221, than apply into the LCM equation.

GCF(7212,7221) = 3
LCM(7212,7221) = ( 7212 × 7221) / 3
LCM(7212,7221) = 52077852 / 3
LCM(7212,7221) = 17359284

Least Common Multiple (LCM) of 7212 and 7221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7212 and 7221. First we will calculate the prime factors of 7212 and 7221.

Prime Factorization of 7212

Prime Factorization of 7221

Now multiplying the highest exponent prime factors to calculate the LCM of 7212 and 7221.

LCM(7212,7221) = 2² × 3¹ × 601¹ × 29¹ × 83¹
LCM(7212,7221) = 17359284