What is the Least Common Multiple of 49164 and 49173?

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 49164 and 49173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49164 and 49173, than apply into the LCM equation.

GCF(49164,49173) = 3
LCM(49164,49173) = ( 49164 × 49173) / 3
LCM(49164,49173) = 2417541372 / 3
LCM(49164,49173) = 805847124

Least Common Multiple (LCM) of 49164 and 49173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49164 and 49173. First we will calculate the prime factors of 49164 and 49173.

Prime Factorization of 49164

Prime Factorization of 49173

Now multiplying the highest exponent prime factors to calculate the LCM of 49164 and 49173.

LCM(49164,49173) = 2² × 3¹ × 17¹ × 241¹ × 37¹ × 443¹
LCM(49164,49173) = 805847124