What is the Least Common Multiple of 76875 and 76891?
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 76875 and 76891 is 5910995625.
LCM(76875,76891) = 5910995625
Least Common Multiple of 76875 and 76891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76875 and 76891, than apply into the LCM equation.
GCF(76875,76891) = 1
LCM(76875,76891) = ( 76875 × 76891) / 1
LCM(76875,76891) = 5910995625 / 1
LCM(76875,76891) = 5910995625
Least Common Multiple (LCM) of 76875 and 76891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76875 and 76891. First we will calculate the prime factors of 76875 and 76891.
Prime Factorization of 76875
Prime factors of 76875 are 3, 5, 41. Prime factorization of 76875 in exponential form is:
76875 = 31 × 54 × 411
Prime Factorization of 76891
Prime factors of 76891 are 17, 4523. Prime factorization of 76891 in exponential form is:
76891 = 171 × 45231
Now multiplying the highest exponent prime factors to calculate the LCM of 76875 and 76891.
LCM(76875,76891) = 31 × 54 × 411 × 171 × 45231
LCM(76875,76891) = 5910995625
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