What is the Least Common Multiple of 16977 and 16985?
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 16977 and 16985 is 288354345.
LCM(16977,16985) = 288354345
Least Common Multiple of 16977 and 16985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16977 and 16985, than apply into the LCM equation.
GCF(16977,16985) = 1
LCM(16977,16985) = ( 16977 × 16985) / 1
LCM(16977,16985) = 288354345 / 1
LCM(16977,16985) = 288354345
Least Common Multiple (LCM) of 16977 and 16985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16977 and 16985. First we will calculate the prime factors of 16977 and 16985.
Prime Factorization of 16977
Prime factors of 16977 are 3, 5659. Prime factorization of 16977 in exponential form is:
16977 = 31 × 56591
Prime Factorization of 16985
Prime factors of 16985 are 5, 43, 79. Prime factorization of 16985 in exponential form is:
16985 = 51 × 431 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 16977 and 16985.
LCM(16977,16985) = 31 × 56591 × 51 × 431 × 791
LCM(16977,16985) = 288354345
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