What is the Least Common Multiple of 55951 and 55963?

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 55951 and 55963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55951 and 55963, than apply into the LCM equation.

GCF(55951,55963) = 1
LCM(55951,55963) = ( 55951 × 55963) / 1
LCM(55951,55963) = 3131185813 / 1
LCM(55951,55963) = 3131185813

Least Common Multiple (LCM) of 55951 and 55963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55951 and 55963. First we will calculate the prime factors of 55951 and 55963.

Prime Factorization of 55951

Prime Factorization of 55963

Now multiplying the highest exponent prime factors to calculate the LCM of 55951 and 55963.

LCM(55951,55963) = 7¹ × 7993¹ × 191¹ × 293¹
LCM(55951,55963) = 3131185813