What is the Least Common Multiple of 986 and 990?
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 990 is 488070.
LCM(986,990) = 488070
Least Common Multiple of 986 and 990 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 990, than apply into the LCM equation.
GCF(986,990) = 2
LCM(986,990) = ( 986 × 990) / 2
LCM(986,990) = 976140 / 2
LCM(986,990) = 488070
Least Common Multiple (LCM) of 986 and 990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 990. First we will calculate the prime factors of 986 and 990.
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 990
Prime factors of 990 are 2, 3, 5, 11. Prime factorization of 990 in exponential form is:
990 = 21 × 32 × 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 986 and 990.
LCM(986,990) = 21 × 171 × 291 × 32 × 51 × 111
LCM(986,990) = 488070
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