What is the Least Common Multiple of 994 and 1006?
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 994 and 1006 is 499982.
LCM(994,1006) = 499982
Least Common Multiple of 994 and 1006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 994 and 1006, than apply into the LCM equation.
GCF(994,1006) = 2
LCM(994,1006) = ( 994 × 1006) / 2
LCM(994,1006) = 999964 / 2
LCM(994,1006) = 499982
Least Common Multiple (LCM) of 994 and 1006 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 1006. First we will calculate the prime factors of 994 and 1006.
Prime Factorization of 994
Prime factors of 994 are 2, 7, 71. Prime factorization of 994 in exponential form is:
994 = 21 × 71 × 711
Prime Factorization of 1006
Prime factors of 1006 are 2, 503. Prime factorization of 1006 in exponential form is:
1006 = 21 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 994 and 1006.
LCM(994,1006) = 21 × 71 × 711 × 5031
LCM(994,1006) = 499982
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