What is the Least Common Multiple of 87577 and 87581?
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 87577 and 87581 is 7670081237.
LCM(87577,87581) = 7670081237
Least Common Multiple of 87577 and 87581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87577 and 87581, than apply into the LCM equation.
GCF(87577,87581) = 1
LCM(87577,87581) = ( 87577 × 87581) / 1
LCM(87577,87581) = 7670081237 / 1
LCM(87577,87581) = 7670081237
Least Common Multiple (LCM) of 87577 and 87581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87577 and 87581. First we will calculate the prime factors of 87577 and 87581.
Prime Factorization of 87577
Prime factors of 87577 are 7, 12511. Prime factorization of 87577 in exponential form is:
87577 = 71 × 125111
Prime Factorization of 87581
Prime factors of 87581 are 13, 6737. Prime factorization of 87581 in exponential form is:
87581 = 131 × 67371
Now multiplying the highest exponent prime factors to calculate the LCM of 87577 and 87581.
LCM(87577,87581) = 71 × 125111 × 131 × 67371
LCM(87577,87581) = 7670081237
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