What is the Least Common Multiple of 8732 and 8746?
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 8732 and 8746 is 38185036.
LCM(8732,8746) = 38185036
Least Common Multiple of 8732 and 8746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8732 and 8746, than apply into the LCM equation.
GCF(8732,8746) = 2
LCM(8732,8746) = ( 8732 × 8746) / 2
LCM(8732,8746) = 76370072 / 2
LCM(8732,8746) = 38185036
Least Common Multiple (LCM) of 8732 and 8746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8732 and 8746. First we will calculate the prime factors of 8732 and 8746.
Prime Factorization of 8732
Prime factors of 8732 are 2, 37, 59. Prime factorization of 8732 in exponential form is:
8732 = 22 × 371 × 591
Prime Factorization of 8746
Prime factors of 8746 are 2, 4373. Prime factorization of 8746 in exponential form is:
8746 = 21 × 43731
Now multiplying the highest exponent prime factors to calculate the LCM of 8732 and 8746.
LCM(8732,8746) = 22 × 371 × 591 × 43731
LCM(8732,8746) = 38185036
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