What is the Least Common Multiple of 87107 and 87127?
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 87107 and 87127 is 7589371589.
LCM(87107,87127) = 7589371589
Least Common Multiple of 87107 and 87127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87107 and 87127, than apply into the LCM equation.
GCF(87107,87127) = 1
LCM(87107,87127) = ( 87107 × 87127) / 1
LCM(87107,87127) = 7589371589 / 1
LCM(87107,87127) = 7589371589
Least Common Multiple (LCM) of 87107 and 87127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87107 and 87127. First we will calculate the prime factors of 87107 and 87127.
Prime Factorization of 87107
Prime factors of 87107 are 87107. Prime factorization of 87107 in exponential form is:
87107 = 871071
Prime Factorization of 87127
Prime factors of 87127 are 151, 577. Prime factorization of 87127 in exponential form is:
87127 = 1511 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 87107 and 87127.
LCM(87107,87127) = 871071 × 1511 × 5771
LCM(87107,87127) = 7589371589
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