What is the Least Common Multiple of 49105 and 49112?

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 49112 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 49112, than apply into the LCM equation.

GCF(49105,49112) = 7
LCM(49105,49112) = ( 49105 × 49112) / 7
LCM(49105,49112) = 2411644760 / 7
LCM(49105,49112) = 344520680

Least Common Multiple (LCM) of 49105 and 49112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49105 and 49112. First we will calculate the prime factors of 49105 and 49112.

Prime Factorization of 49105

Prime Factorization of 49112

Now multiplying the highest exponent prime factors to calculate the LCM of 49105 and 49112.

LCM(49105,49112) = 5¹ × 7¹ × 23¹ × 61¹ × 2³ × 877¹
LCM(49105,49112) = 344520680