What is the Least Common Multiple of 64414 and 64421?

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 64414 and 64421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64414 and 64421, than apply into the LCM equation.

GCF(64414,64421) = 7
LCM(64414,64421) = ( 64414 × 64421) / 7
LCM(64414,64421) = 4149614294 / 7
LCM(64414,64421) = 592802042

Least Common Multiple (LCM) of 64414 and 64421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64414 and 64421. First we will calculate the prime factors of 64414 and 64421.

Prime Factorization of 64414

Prime Factorization of 64421

Now multiplying the highest exponent prime factors to calculate the LCM of 64414 and 64421.

LCM(64414,64421) = 2¹ × 7¹ × 43¹ × 107¹ × 9203¹
LCM(64414,64421) = 592802042