What is the Least Common Multiple of 5992 and 6012?
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 5992 and 6012 is 9005976.
LCM(5992,6012) = 9005976
Least Common Multiple of 5992 and 6012 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5992 and 6012, than apply into the LCM equation.
GCF(5992,6012) = 4
LCM(5992,6012) = ( 5992 × 6012) / 4
LCM(5992,6012) = 36023904 / 4
LCM(5992,6012) = 9005976
Least Common Multiple (LCM) of 5992 and 6012 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5992 and 6012. First we will calculate the prime factors of 5992 and 6012.
Prime Factorization of 5992
Prime factors of 5992 are 2, 7, 107. Prime factorization of 5992 in exponential form is:
5992 = 23 × 71 × 1071
Prime Factorization of 6012
Prime factors of 6012 are 2, 3, 167. Prime factorization of 6012 in exponential form is:
6012 = 22 × 32 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 5992 and 6012.
LCM(5992,6012) = 23 × 71 × 1071 × 32 × 1671
LCM(5992,6012) = 9005976
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