What is the Least Common Multiple of 13650 and 13666?
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 13650 and 13666 is 93270450.
LCM(13650,13666) = 93270450
Least Common Multiple of 13650 and 13666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13650 and 13666, than apply into the LCM equation.
GCF(13650,13666) = 2
LCM(13650,13666) = ( 13650 × 13666) / 2
LCM(13650,13666) = 186540900 / 2
LCM(13650,13666) = 93270450
Least Common Multiple (LCM) of 13650 and 13666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13650 and 13666. First we will calculate the prime factors of 13650 and 13666.
Prime Factorization of 13650
Prime factors of 13650 are 2, 3, 5, 7, 13. Prime factorization of 13650 in exponential form is:
13650 = 21 × 31 × 52 × 71 × 131
Prime Factorization of 13666
Prime factors of 13666 are 2, 6833. Prime factorization of 13666 in exponential form is:
13666 = 21 × 68331
Now multiplying the highest exponent prime factors to calculate the LCM of 13650 and 13666.
LCM(13650,13666) = 21 × 31 × 52 × 71 × 131 × 68331
LCM(13650,13666) = 93270450
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