What is the Least Common Multiple of 967 and 986?
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 967 and 986 is 953462.
LCM(967,986) = 953462
Least Common Multiple of 967 and 986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 967 and 986, than apply into the LCM equation.
GCF(967,986) = 1
LCM(967,986) = ( 967 × 986) / 1
LCM(967,986) = 953462 / 1
LCM(967,986) = 953462
Least Common Multiple (LCM) of 967 and 986 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 986. First we will calculate the prime factors of 967 and 986.
Prime Factorization of 967
Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:
967 = 9671
Prime Factorization of 986
Prime factors of 986 are 2, 17, 29. Prime factorization of 986 in exponential form is:
986 = 21 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 967 and 986.
LCM(967,986) = 9671 × 21 × 171 × 291
LCM(967,986) = 953462
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