What is the Least Common Multiple of 63706 and 63712?

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 63706 and 63712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63706 and 63712, than apply into the LCM equation.

GCF(63706,63712) = 2
LCM(63706,63712) = ( 63706 × 63712) / 2
LCM(63706,63712) = 4058836672 / 2
LCM(63706,63712) = 2029418336

Least Common Multiple (LCM) of 63706 and 63712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63706 and 63712. First we will calculate the prime factors of 63706 and 63712.

Prime Factorization of 63706

Prime Factorization of 63712

Now multiplying the highest exponent prime factors to calculate the LCM of 63706 and 63712.

LCM(63706,63712) = 2⁵ × 53¹ × 601¹ × 11¹ × 181¹
LCM(63706,63712) = 2029418336