What is the Least Common Multiple of 87476 and 87481?
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 87476 and 87481 is 7652487956.
LCM(87476,87481) = 7652487956
Least Common Multiple of 87476 and 87481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87476 and 87481, than apply into the LCM equation.
GCF(87476,87481) = 1
LCM(87476,87481) = ( 87476 × 87481) / 1
LCM(87476,87481) = 7652487956 / 1
LCM(87476,87481) = 7652487956
Least Common Multiple (LCM) of 87476 and 87481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87476 and 87481. First we will calculate the prime factors of 87476 and 87481.
Prime Factorization of 87476
Prime factors of 87476 are 2, 19, 1151. Prime factorization of 87476 in exponential form is:
87476 = 22 × 191 × 11511
Prime Factorization of 87481
Prime factors of 87481 are 87481. Prime factorization of 87481 in exponential form is:
87481 = 874811
Now multiplying the highest exponent prime factors to calculate the LCM of 87476 and 87481.
LCM(87476,87481) = 22 × 191 × 11511 × 874811
LCM(87476,87481) = 7652487956
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