What is the Least Common Multiple of 8739 and 8758?
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 8739 and 8758 is 76536162.
LCM(8739,8758) = 76536162
Least Common Multiple of 8739 and 8758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8739 and 8758, than apply into the LCM equation.
GCF(8739,8758) = 1
LCM(8739,8758) = ( 8739 × 8758) / 1
LCM(8739,8758) = 76536162 / 1
LCM(8739,8758) = 76536162
Least Common Multiple (LCM) of 8739 and 8758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8739 and 8758. First we will calculate the prime factors of 8739 and 8758.
Prime Factorization of 8739
Prime factors of 8739 are 3, 971. Prime factorization of 8739 in exponential form is:
8739 = 32 × 9711
Prime Factorization of 8758
Prime factors of 8758 are 2, 29, 151. Prime factorization of 8758 in exponential form is:
8758 = 21 × 291 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 8739 and 8758.
LCM(8739,8758) = 32 × 9711 × 21 × 291 × 1511
LCM(8739,8758) = 76536162
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