What is the Least Common Multiple of 11662 and 11677?
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 11662 and 11677 is 136177174.
LCM(11662,11677) = 136177174
Least Common Multiple of 11662 and 11677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11662 and 11677, than apply into the LCM equation.
GCF(11662,11677) = 1
LCM(11662,11677) = ( 11662 × 11677) / 1
LCM(11662,11677) = 136177174 / 1
LCM(11662,11677) = 136177174
Least Common Multiple (LCM) of 11662 and 11677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11662 and 11677. First we will calculate the prime factors of 11662 and 11677.
Prime Factorization of 11662
Prime factors of 11662 are 2, 7, 17. Prime factorization of 11662 in exponential form is:
11662 = 21 × 73 × 171
Prime Factorization of 11677
Prime factors of 11677 are 11677. Prime factorization of 11677 in exponential form is:
11677 = 116771
Now multiplying the highest exponent prime factors to calculate the LCM of 11662 and 11677.
LCM(11662,11677) = 21 × 73 × 171 × 116771
LCM(11662,11677) = 136177174
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