What is the Least Common Multiple of 23949 and 23953?

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 23949 and 23953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23949 and 23953, than apply into the LCM equation.

GCF(23949,23953) = 1
LCM(23949,23953) = ( 23949 × 23953) / 1
LCM(23949,23953) = 573650397 / 1
LCM(23949,23953) = 573650397

Least Common Multiple (LCM) of 23949 and 23953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23949 and 23953. First we will calculate the prime factors of 23949 and 23953.

Prime Factorization of 23949

Prime Factorization of 23953

Now multiplying the highest exponent prime factors to calculate the LCM of 23949 and 23953.

LCM(23949,23953) = 3³ × 887¹ × 17¹ × 1409¹
LCM(23949,23953) = 573650397