What is the Least Common Multiple of 49105 and 49117?

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 49105 and 49117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49105 and 49117, than apply into the LCM equation.

GCF(49105,49117) = 1
LCM(49105,49117) = ( 49105 × 49117) / 1
LCM(49105,49117) = 2411890285 / 1
LCM(49105,49117) = 2411890285

Least Common Multiple (LCM) of 49105 and 49117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49105 and 49117. First we will calculate the prime factors of 49105 and 49117.

Prime Factorization of 49105

Prime Factorization of 49117

Now multiplying the highest exponent prime factors to calculate the LCM of 49105 and 49117.

LCM(49105,49117) = 5¹ × 7¹ × 23¹ × 61¹ × 49117¹
LCM(49105,49117) = 2411890285