GCF and LCM Calculator Logo

What is the Least Common Multiple of 65214 and 65221?

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 65214 and 65221 is 4253322294.

LCM(65214,65221) = 4253322294

LCM Calculator and
and

Least Common Multiple of 65214 and 65221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65214 and 65221, than apply into the LCM equation.

GCF(65214,65221) = 1
LCM(65214,65221) = ( 65214 × 65221) / 1
LCM(65214,65221) = 4253322294 / 1
LCM(65214,65221) = 4253322294

Least Common Multiple (LCM) of 65214 and 65221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65214 and 65221. First we will calculate the prime factors of 65214 and 65221.

Prime Factorization of 65214

Prime factors of 65214 are 2, 3, 3623. Prime factorization of 65214 in exponential form is:

65214 = 21 × 32 × 36231

Prime Factorization of 65221

Prime factors of 65221 are 13, 29, 173. Prime factorization of 65221 in exponential form is:

65221 = 131 × 291 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 65214 and 65221.

LCM(65214,65221) = 21 × 32 × 36231 × 131 × 291 × 1731
LCM(65214,65221) = 4253322294