What is the Least Common Multiple of 63943 and 63947?

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 63943 and 63947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63943 and 63947, than apply into the LCM equation.

GCF(63943,63947) = 1
LCM(63943,63947) = ( 63943 × 63947) / 1
LCM(63943,63947) = 4088963021 / 1
LCM(63943,63947) = 4088963021

Least Common Multiple (LCM) of 63943 and 63947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63943 and 63947. First we will calculate the prime factors of 63943 and 63947.

Prime Factorization of 63943

Prime Factorization of 63947

Now multiplying the highest exponent prime factors to calculate the LCM of 63943 and 63947.

LCM(63943,63947) = 11¹ × 5813¹ × 13¹ × 4919¹
LCM(63943,63947) = 4088963021