What is the Least Common Multiple of 11640 and 11651?
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 11640 and 11651 is 135617640.
LCM(11640,11651) = 135617640
Least Common Multiple of 11640 and 11651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11640 and 11651, than apply into the LCM equation.
GCF(11640,11651) = 1
LCM(11640,11651) = ( 11640 × 11651) / 1
LCM(11640,11651) = 135617640 / 1
LCM(11640,11651) = 135617640
Least Common Multiple (LCM) of 11640 and 11651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11640 and 11651. First we will calculate the prime factors of 11640 and 11651.
Prime Factorization of 11640
Prime factors of 11640 are 2, 3, 5, 97. Prime factorization of 11640 in exponential form is:
11640 = 23 × 31 × 51 × 971
Prime Factorization of 11651
Prime factors of 11651 are 61, 191. Prime factorization of 11651 in exponential form is:
11651 = 611 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 11640 and 11651.
LCM(11640,11651) = 23 × 31 × 51 × 971 × 611 × 1911
LCM(11640,11651) = 135617640
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