What is the Least Common Multiple of 8752 and 8762?
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 8752 and 8762 is 38342512.
LCM(8752,8762) = 38342512
Least Common Multiple of 8752 and 8762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8752 and 8762, than apply into the LCM equation.
GCF(8752,8762) = 2
LCM(8752,8762) = ( 8752 × 8762) / 2
LCM(8752,8762) = 76685024 / 2
LCM(8752,8762) = 38342512
Least Common Multiple (LCM) of 8752 and 8762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8762. First we will calculate the prime factors of 8752 and 8762.
Prime Factorization of 8752
Prime factors of 8752 are 2, 547. Prime factorization of 8752 in exponential form is:
8752 = 24 × 5471
Prime Factorization of 8762
Prime factors of 8762 are 2, 13, 337. Prime factorization of 8762 in exponential form is:
8762 = 21 × 131 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8762.
LCM(8752,8762) = 24 × 5471 × 131 × 3371
LCM(8752,8762) = 38342512
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