What is the Least Common Multiple of 7977 and 7986?
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 7977 and 7986 is 21234774.
LCM(7977,7986) = 21234774
Least Common Multiple of 7977 and 7986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7977 and 7986, than apply into the LCM equation.
GCF(7977,7986) = 3
LCM(7977,7986) = ( 7977 × 7986) / 3
LCM(7977,7986) = 63704322 / 3
LCM(7977,7986) = 21234774
Least Common Multiple (LCM) of 7977 and 7986 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7977 and 7986. First we will calculate the prime factors of 7977 and 7986.
Prime Factorization of 7977
Prime factors of 7977 are 3, 2659. Prime factorization of 7977 in exponential form is:
7977 = 31 × 26591
Prime Factorization of 7986
Prime factors of 7986 are 2, 3, 11. Prime factorization of 7986 in exponential form is:
7986 = 21 × 31 × 113
Now multiplying the highest exponent prime factors to calculate the LCM of 7977 and 7986.
LCM(7977,7986) = 31 × 26591 × 21 × 113
LCM(7977,7986) = 21234774
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