What is the Least Common Multiple of 8752 and 8763?
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 8763 is 76693776.
LCM(8752,8763) = 76693776
Least Common Multiple of 8752 and 8763 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 8763, than apply into the LCM equation.
GCF(8752,8763) = 1
LCM(8752,8763) = ( 8752 × 8763) / 1
LCM(8752,8763) = 76693776 / 1
LCM(8752,8763) = 76693776
Least Common Multiple (LCM) of 8752 and 8763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8763. First we will calculate the prime factors of 8752 and 8763.
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 8763
Prime factors of 8763 are 3, 23, 127. Prime factorization of 8763 in exponential form is:
8763 = 31 × 231 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8763.
LCM(8752,8763) = 24 × 5471 × 31 × 231 × 1271
LCM(8752,8763) = 76693776
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