What is the Least Common Multiple of 63939 and 63949?

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 63939 and 63949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63939 and 63949, than apply into the LCM equation.

GCF(63939,63949) = 1
LCM(63939,63949) = ( 63939 × 63949) / 1
LCM(63939,63949) = 4088835111 / 1
LCM(63939,63949) = 4088835111

Least Common Multiple (LCM) of 63939 and 63949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63939 and 63949. First we will calculate the prime factors of 63939 and 63949.

Prime Factorization of 63939

Prime Factorization of 63949

Now multiplying the highest exponent prime factors to calculate the LCM of 63939 and 63949.

LCM(63939,63949) = 3¹ × 21313¹ × 63949¹
LCM(63939,63949) = 4088835111