What is the Least Common Multiple of 11756 and 11761?

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 11756 and 11761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11756 and 11761, than apply into the LCM equation.

GCF(11756,11761) = 1
LCM(11756,11761) = ( 11756 × 11761) / 1
LCM(11756,11761) = 138262316 / 1
LCM(11756,11761) = 138262316

Least Common Multiple (LCM) of 11756 and 11761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11756 and 11761. First we will calculate the prime factors of 11756 and 11761.

Prime Factorization of 11756

Prime Factorization of 11761

Now multiplying the highest exponent prime factors to calculate the LCM of 11756 and 11761.

LCM(11756,11761) = 2² × 2939¹ × 19¹ × 619¹
LCM(11756,11761) = 138262316