What is the Least Common Multiple of 986 and 1004?
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 986 and 1004 is 494972.
LCM(986,1004) = 494972
Least Common Multiple of 986 and 1004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 986 and 1004, than apply into the LCM equation.
GCF(986,1004) = 2
LCM(986,1004) = ( 986 × 1004) / 2
LCM(986,1004) = 989944 / 2
LCM(986,1004) = 494972
Least Common Multiple (LCM) of 986 and 1004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 1004. First we will calculate the prime factors of 986 and 1004.
Prime Factorization of 986
Prime factors of 986 are 2, 17, 29. Prime factorization of 986 in exponential form is:
986 = 21 × 171 × 291
Prime Factorization of 1004
Prime factors of 1004 are 2, 251. Prime factorization of 1004 in exponential form is:
1004 = 22 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 986 and 1004.
LCM(986,1004) = 22 × 171 × 291 × 2511
LCM(986,1004) = 494972
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