What is the Least Common Multiple of 63946 and 63958?

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 63946 and 63958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63946 and 63958, than apply into the LCM equation.

GCF(63946,63958) = 2
LCM(63946,63958) = ( 63946 × 63958) / 2
LCM(63946,63958) = 4089858268 / 2
LCM(63946,63958) = 2044929134

Least Common Multiple (LCM) of 63946 and 63958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63946 and 63958. First we will calculate the prime factors of 63946 and 63958.

Prime Factorization of 63946

Prime Factorization of 63958

Now multiplying the highest exponent prime factors to calculate the LCM of 63946 and 63958.

LCM(63946,63958) = 2¹ × 31973¹ × 113¹ × 283¹
LCM(63946,63958) = 2044929134