What is the Least Common Multiple of 87867 and 87883?
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 87867 and 87883 is 7722015561.
LCM(87867,87883) = 7722015561
Least Common Multiple of 87867 and 87883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87867 and 87883, than apply into the LCM equation.
GCF(87867,87883) = 1
LCM(87867,87883) = ( 87867 × 87883) / 1
LCM(87867,87883) = 7722015561 / 1
LCM(87867,87883) = 7722015561
Least Common Multiple (LCM) of 87867 and 87883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87867 and 87883. First we will calculate the prime factors of 87867 and 87883.
Prime Factorization of 87867
Prime factors of 87867 are 3, 13, 751. Prime factorization of 87867 in exponential form is:
87867 = 32 × 131 × 7511
Prime Factorization of 87883
Prime factors of 87883 are 23, 3821. Prime factorization of 87883 in exponential form is:
87883 = 231 × 38211
Now multiplying the highest exponent prime factors to calculate the LCM of 87867 and 87883.
LCM(87867,87883) = 32 × 131 × 7511 × 231 × 38211
LCM(87867,87883) = 7722015561
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