What is the Least Common Multiple of 87637 and 87641?
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 87637 and 87641 is 7680594317.
LCM(87637,87641) = 7680594317
Least Common Multiple of 87637 and 87641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87637 and 87641, than apply into the LCM equation.
GCF(87637,87641) = 1
LCM(87637,87641) = ( 87637 × 87641) / 1
LCM(87637,87641) = 7680594317 / 1
LCM(87637,87641) = 7680594317
Least Common Multiple (LCM) of 87637 and 87641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87637 and 87641. First we will calculate the prime factors of 87637 and 87641.
Prime Factorization of 87637
Prime factors of 87637 are 11, 31, 257. Prime factorization of 87637 in exponential form is:
87637 = 111 × 311 × 2571
Prime Factorization of 87641
Prime factors of 87641 are 87641. Prime factorization of 87641 in exponential form is:
87641 = 876411
Now multiplying the highest exponent prime factors to calculate the LCM of 87637 and 87641.
LCM(87637,87641) = 111 × 311 × 2571 × 876411
LCM(87637,87641) = 7680594317
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