What is the Least Common Multiple of 63414 and 63418?

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 63414 and 63418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63414 and 63418, than apply into the LCM equation.

GCF(63414,63418) = 2
LCM(63414,63418) = ( 63414 × 63418) / 2
LCM(63414,63418) = 4021589052 / 2
LCM(63414,63418) = 2010794526

Least Common Multiple (LCM) of 63414 and 63418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63414 and 63418. First we will calculate the prime factors of 63414 and 63418.

Prime Factorization of 63414

Prime Factorization of 63418

Now multiplying the highest exponent prime factors to calculate the LCM of 63414 and 63418.

LCM(63414,63418) = 2¹ × 3² × 13¹ × 271¹ × 37¹ × 857¹
LCM(63414,63418) = 2010794526