What is the Least Common Multiple of 87067 and 87076?
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 87067 and 87076 is 7581446092.
LCM(87067,87076) = 7581446092
Least Common Multiple of 87067 and 87076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87067 and 87076, than apply into the LCM equation.
GCF(87067,87076) = 1
LCM(87067,87076) = ( 87067 × 87076) / 1
LCM(87067,87076) = 7581446092 / 1
LCM(87067,87076) = 7581446092
Least Common Multiple (LCM) of 87067 and 87076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87067 and 87076. First we will calculate the prime factors of 87067 and 87076.
Prime Factorization of 87067
Prime factors of 87067 are 83, 1049. Prime factorization of 87067 in exponential form is:
87067 = 831 × 10491
Prime Factorization of 87076
Prime factors of 87076 are 2, 11, 1979. Prime factorization of 87076 in exponential form is:
87076 = 22 × 111 × 19791
Now multiplying the highest exponent prime factors to calculate the LCM of 87067 and 87076.
LCM(87067,87076) = 831 × 10491 × 22 × 111 × 19791
LCM(87067,87076) = 7581446092
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