What is the Least Common Multiple of 63678 and 63688?

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 63678 and 63688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63678 and 63688, than apply into the LCM equation.

GCF(63678,63688) = 2
LCM(63678,63688) = ( 63678 × 63688) / 2
LCM(63678,63688) = 4055524464 / 2
LCM(63678,63688) = 2027762232

Least Common Multiple (LCM) of 63678 and 63688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63678 and 63688. First we will calculate the prime factors of 63678 and 63688.

Prime Factorization of 63678

Prime Factorization of 63688

Now multiplying the highest exponent prime factors to calculate the LCM of 63678 and 63688.

LCM(63678,63688) = 2³ × 3¹ × 10613¹ × 19¹ × 419¹
LCM(63678,63688) = 2027762232