What is the Least Common Multiple of 11355 and 11374?

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 11355 and 11374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11355 and 11374, than apply into the LCM equation.

GCF(11355,11374) = 1
LCM(11355,11374) = ( 11355 × 11374) / 1
LCM(11355,11374) = 129151770 / 1
LCM(11355,11374) = 129151770

Least Common Multiple (LCM) of 11355 and 11374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11355 and 11374. First we will calculate the prime factors of 11355 and 11374.

Prime Factorization of 11355

Prime Factorization of 11374

Now multiplying the highest exponent prime factors to calculate the LCM of 11355 and 11374.

LCM(11355,11374) = 3¹ × 5¹ × 757¹ × 2¹ × 11² × 47¹
LCM(11355,11374) = 129151770