What is the Least Common Multiple of 63705 and 63724?

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 63705 and 63724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63705 and 63724, than apply into the LCM equation.

GCF(63705,63724) = 1
LCM(63705,63724) = ( 63705 × 63724) / 1
LCM(63705,63724) = 4059537420 / 1
LCM(63705,63724) = 4059537420

Least Common Multiple (LCM) of 63705 and 63724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63705 and 63724. First we will calculate the prime factors of 63705 and 63724.

Prime Factorization of 63705

Prime Factorization of 63724

Now multiplying the highest exponent prime factors to calculate the LCM of 63705 and 63724.

LCM(63705,63724) = 3¹ × 5¹ × 31¹ × 137¹ × 2² × 89¹ × 179¹
LCM(63705,63724) = 4059537420