What is the Least Common Multiple of 63924 and 63936?

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 63924 and 63936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63924 and 63936, than apply into the LCM equation.

GCF(63924,63936) = 12
LCM(63924,63936) = ( 63924 × 63936) / 12
LCM(63924,63936) = 4087044864 / 12
LCM(63924,63936) = 340587072

Least Common Multiple (LCM) of 63924 and 63936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63924 and 63936. First we will calculate the prime factors of 63924 and 63936.

Prime Factorization of 63924

Prime Factorization of 63936

Now multiplying the highest exponent prime factors to calculate the LCM of 63924 and 63936.

LCM(63924,63936) = 2⁶ × 3³ × 7¹ × 761¹ × 37¹
LCM(63924,63936) = 340587072