What is the Least Common Multiple of 23953 and 23967?

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 23953 and 23967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23953 and 23967, than apply into the LCM equation.

GCF(23953,23967) = 1
LCM(23953,23967) = ( 23953 × 23967) / 1
LCM(23953,23967) = 574081551 / 1
LCM(23953,23967) = 574081551

Least Common Multiple (LCM) of 23953 and 23967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23953 and 23967. First we will calculate the prime factors of 23953 and 23967.

Prime Factorization of 23953

Prime Factorization of 23967

Now multiplying the highest exponent prime factors to calculate the LCM of 23953 and 23967.

LCM(23953,23967) = 17¹ × 1409¹ × 3² × 2663¹
LCM(23953,23967) = 574081551