What is the Least Common Multiple of 87651 and 87655?
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 87651 and 87655 is 7683048405.
LCM(87651,87655) = 7683048405
Least Common Multiple of 87651 and 87655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87651 and 87655, than apply into the LCM equation.
GCF(87651,87655) = 1
LCM(87651,87655) = ( 87651 × 87655) / 1
LCM(87651,87655) = 7683048405 / 1
LCM(87651,87655) = 7683048405
Least Common Multiple (LCM) of 87651 and 87655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87651 and 87655. First we will calculate the prime factors of 87651 and 87655.
Prime Factorization of 87651
Prime factors of 87651 are 3, 9739. Prime factorization of 87651 in exponential form is:
87651 = 32 × 97391
Prime Factorization of 87655
Prime factors of 87655 are 5, 47, 373. Prime factorization of 87655 in exponential form is:
87655 = 51 × 471 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 87651 and 87655.
LCM(87651,87655) = 32 × 97391 × 51 × 471 × 3731
LCM(87651,87655) = 7683048405
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