What is the Least Common Multiple of 11621 and 11640?
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 11621 and 11640 is 135268440.
LCM(11621,11640) = 135268440
Least Common Multiple of 11621 and 11640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11621 and 11640, than apply into the LCM equation.
GCF(11621,11640) = 1
LCM(11621,11640) = ( 11621 × 11640) / 1
LCM(11621,11640) = 135268440 / 1
LCM(11621,11640) = 135268440
Least Common Multiple (LCM) of 11621 and 11640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11621 and 11640. First we will calculate the prime factors of 11621 and 11640.
Prime Factorization of 11621
Prime factors of 11621 are 11621. Prime factorization of 11621 in exponential form is:
11621 = 116211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 11621 and 11640.
LCM(11621,11640) = 116211 × 23 × 31 × 51 × 971
LCM(11621,11640) = 135268440
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