What is the Least Common Multiple of 49168 and 49175?

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 49168 and 49175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49168 and 49175, than apply into the LCM equation.

GCF(49168,49175) = 7
LCM(49168,49175) = ( 49168 × 49175) / 7
LCM(49168,49175) = 2417836400 / 7
LCM(49168,49175) = 345405200

Least Common Multiple (LCM) of 49168 and 49175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49168 and 49175. First we will calculate the prime factors of 49168 and 49175.

Prime Factorization of 49168

Prime Factorization of 49175

Now multiplying the highest exponent prime factors to calculate the LCM of 49168 and 49175.

LCM(49168,49175) = 2⁴ × 7¹ × 439¹ × 5² × 281¹
LCM(49168,49175) = 345405200