What is the Least Common Multiple of 49175 and 49189?

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 49175 and 49189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49175 and 49189, than apply into the LCM equation.

GCF(49175,49189) = 7
LCM(49175,49189) = ( 49175 × 49189) / 7
LCM(49175,49189) = 2418869075 / 7
LCM(49175,49189) = 345552725

Least Common Multiple (LCM) of 49175 and 49189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49175 and 49189. First we will calculate the prime factors of 49175 and 49189.

Prime Factorization of 49175

Prime Factorization of 49189

Now multiplying the highest exponent prime factors to calculate the LCM of 49175 and 49189.

LCM(49175,49189) = 5² × 7¹ × 281¹ × 7027¹
LCM(49175,49189) = 345552725