What is the Least Common Multiple of 8752 and 8760?
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 8760 is 9583440.
LCM(8752,8760) = 9583440
Least Common Multiple of 8752 and 8760 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 8760, than apply into the LCM equation.
GCF(8752,8760) = 8
LCM(8752,8760) = ( 8752 × 8760) / 8
LCM(8752,8760) = 76667520 / 8
LCM(8752,8760) = 9583440
Least Common Multiple (LCM) of 8752 and 8760 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8760. First we will calculate the prime factors of 8752 and 8760.
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 8760
Prime factors of 8760 are 2, 3, 5, 73. Prime factorization of 8760 in exponential form is:
8760 = 23 × 31 × 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8760.
LCM(8752,8760) = 24 × 5471 × 31 × 51 × 731
LCM(8752,8760) = 9583440
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