What is the Least Common Multiple of 11742 and 11749?

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 11742 and 11749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11742 and 11749, than apply into the LCM equation.

GCF(11742,11749) = 1
LCM(11742,11749) = ( 11742 × 11749) / 1
LCM(11742,11749) = 137956758 / 1
LCM(11742,11749) = 137956758

Least Common Multiple (LCM) of 11742 and 11749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11742 and 11749. First we will calculate the prime factors of 11742 and 11749.

Prime Factorization of 11742

Prime Factorization of 11749

Now multiplying the highest exponent prime factors to calculate the LCM of 11742 and 11749.

LCM(11742,11749) = 2¹ × 3¹ × 19¹ × 103¹ × 31¹ × 379¹
LCM(11742,11749) = 137956758