What is the Least Common Multiple of 11940 and 11954?

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 11940 and 11954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11940 and 11954, than apply into the LCM equation.

GCF(11940,11954) = 2
LCM(11940,11954) = ( 11940 × 11954) / 2
LCM(11940,11954) = 142730760 / 2
LCM(11940,11954) = 71365380

Least Common Multiple (LCM) of 11940 and 11954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11940 and 11954. First we will calculate the prime factors of 11940 and 11954.

Prime Factorization of 11940

Prime Factorization of 11954

Now multiplying the highest exponent prime factors to calculate the LCM of 11940 and 11954.

LCM(11940,11954) = 2² × 3¹ × 5¹ × 199¹ × 43¹ × 139¹
LCM(11940,11954) = 71365380