What is the Least Common Multiple of 11962 and 11979?
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 11962 and 11979 is 143292798.
LCM(11962,11979) = 143292798
Least Common Multiple of 11962 and 11979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11962 and 11979, than apply into the LCM equation.
GCF(11962,11979) = 1
LCM(11962,11979) = ( 11962 × 11979) / 1
LCM(11962,11979) = 143292798 / 1
LCM(11962,11979) = 143292798
Least Common Multiple (LCM) of 11962 and 11979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11962 and 11979. First we will calculate the prime factors of 11962 and 11979.
Prime Factorization of 11962
Prime factors of 11962 are 2, 5981. Prime factorization of 11962 in exponential form is:
11962 = 21 × 59811
Prime Factorization of 11979
Prime factors of 11979 are 3, 11. Prime factorization of 11979 in exponential form is:
11979 = 32 × 113
Now multiplying the highest exponent prime factors to calculate the LCM of 11962 and 11979.
LCM(11962,11979) = 21 × 59811 × 32 × 113
LCM(11962,11979) = 143292798
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