What is the Least Common Multiple of 63688 and 63704?

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 63688 and 63704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63688 and 63704, than apply into the LCM equation.

GCF(63688,63704) = 8
LCM(63688,63704) = ( 63688 × 63704) / 8
LCM(63688,63704) = 4057180352 / 8
LCM(63688,63704) = 507147544

Least Common Multiple (LCM) of 63688 and 63704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63688 and 63704. First we will calculate the prime factors of 63688 and 63704.

Prime Factorization of 63688

Prime Factorization of 63704

Now multiplying the highest exponent prime factors to calculate the LCM of 63688 and 63704.

LCM(63688,63704) = 2³ × 19¹ × 419¹ × 7963¹
LCM(63688,63704) = 507147544