What is the Least Common Multiple of 49126 and 49141?

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 49126 and 49141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49126 and 49141, than apply into the LCM equation.

GCF(49126,49141) = 1
LCM(49126,49141) = ( 49126 × 49141) / 1
LCM(49126,49141) = 2414100766 / 1
LCM(49126,49141) = 2414100766

Least Common Multiple (LCM) of 49126 and 49141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49126 and 49141. First we will calculate the prime factors of 49126 and 49141.

Prime Factorization of 49126

Prime Factorization of 49141

Now multiplying the highest exponent prime factors to calculate the LCM of 49126 and 49141.

LCM(49126,49141) = 2¹ × 7¹ × 11² × 29¹ × 157¹ × 313¹
LCM(49126,49141) = 2414100766