GCF and LCM Calculator Logo

What is the Least Common Multiple of 4214 and 4221?

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 (LCM) of 4214 and 4221 is 2541042.

LCM(4214,4221) = 2541042

LCM Calculator and
and

Least Common Multiple of 4214 and 4221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4214 and 4221, than apply into the LCM equation.

GCF(4214,4221) = 7
LCM(4214,4221) = ( 4214 × 4221) / 7
LCM(4214,4221) = 17787294 / 7
LCM(4214,4221) = 2541042

Least Common Multiple (LCM) of 4214 and 4221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4214 and 4221. First we will calculate the prime factors of 4214 and 4221.

Prime Factorization of 4214

Prime factors of 4214 are 2, 7, 43. Prime factorization of 4214 in exponential form is:

4214 = 21 × 72 × 431

Prime Factorization of 4221

Prime factors of 4221 are 3, 7, 67. Prime factorization of 4221 in exponential form is:

4221 = 32 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4214 and 4221.

LCM(4214,4221) = 21 × 72 × 431 × 32 × 671
LCM(4214,4221) = 2541042