What is the Least Common Multiple of 63682 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 63682 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 63682 and 63688, than apply into the LCM equation.

GCF(63682,63688) = 2
LCM(63682,63688) = ( 63682 × 63688) / 2
LCM(63682,63688) = 4055779216 / 2
LCM(63682,63688) = 2027889608

Least Common Multiple (LCM) of 63682 and 63688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63682 and 63688. First we will calculate the prime factors of 63682 and 63688.

Prime Factorization of 63682

Prime Factorization of 63688

Now multiplying the highest exponent prime factors to calculate the LCM of 63682 and 63688.

LCM(63682,63688) = 2³ × 17¹ × 1873¹ × 19¹ × 419¹
LCM(63682,63688) = 2027889608