What is the Least Common Multiple of 11410 and 11429?

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 11410 and 11429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11410 and 11429, than apply into the LCM equation.

GCF(11410,11429) = 1
LCM(11410,11429) = ( 11410 × 11429) / 1
LCM(11410,11429) = 130404890 / 1
LCM(11410,11429) = 130404890

Least Common Multiple (LCM) of 11410 and 11429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11410 and 11429. First we will calculate the prime factors of 11410 and 11429.

Prime Factorization of 11410

Prime Factorization of 11429

Now multiplying the highest exponent prime factors to calculate the LCM of 11410 and 11429.

LCM(11410,11429) = 2¹ × 5¹ × 7¹ × 163¹ × 11¹ × 1039¹
LCM(11410,11429) = 130404890