What is the Least Common Multiple of 11964 and 11980?
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 (LCM) of 11964 and 11980 is 35832180.
LCM(11964,11980) = 35832180
Least Common Multiple of 11964 and 11980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11964 and 11980, than apply into the LCM equation.
GCF(11964,11980) = 4
LCM(11964,11980) = ( 11964 × 11980) / 4
LCM(11964,11980) = 143328720 / 4
LCM(11964,11980) = 35832180
Least Common Multiple (LCM) of 11964 and 11980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11964 and 11980. First we will calculate the prime factors of 11964 and 11980.
Prime Factorization of 11964
Prime factors of 11964 are 2, 3, 997. Prime factorization of 11964 in exponential form is:
11964 = 22 × 31 × 9971
Prime Factorization of 11980
Prime factors of 11980 are 2, 5, 599. Prime factorization of 11980 in exponential form is:
11980 = 22 × 51 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 11964 and 11980.
LCM(11964,11980) = 22 × 31 × 9971 × 51 × 5991
LCM(11964,11980) = 35832180
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