What is the Least Common Multiple of 63344 and 63364?

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 63344 and 63364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63344 and 63364, than apply into the LCM equation.

GCF(63344,63364) = 4
LCM(63344,63364) = ( 63344 × 63364) / 4
LCM(63344,63364) = 4013729216 / 4
LCM(63344,63364) = 1003432304

Least Common Multiple (LCM) of 63344 and 63364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63344 and 63364. First we will calculate the prime factors of 63344 and 63364.

Prime Factorization of 63344

Prime Factorization of 63364

Now multiplying the highest exponent prime factors to calculate the LCM of 63344 and 63364.

LCM(63344,63364) = 2⁴ × 37¹ × 107¹ × 7¹ × 31¹ × 73¹
LCM(63344,63364) = 1003432304