What is the Least Common Multiple of 8897 and 8907?
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 8897 and 8907 is 79245579.
LCM(8897,8907) = 79245579
Least Common Multiple of 8897 and 8907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8897 and 8907, than apply into the LCM equation.
GCF(8897,8907) = 1
LCM(8897,8907) = ( 8897 × 8907) / 1
LCM(8897,8907) = 79245579 / 1
LCM(8897,8907) = 79245579
Least Common Multiple (LCM) of 8897 and 8907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8897 and 8907. First we will calculate the prime factors of 8897 and 8907.
Prime Factorization of 8897
Prime factors of 8897 are 7, 31, 41. Prime factorization of 8897 in exponential form is:
8897 = 71 × 311 × 411
Prime Factorization of 8907
Prime factors of 8907 are 3, 2969. Prime factorization of 8907 in exponential form is:
8907 = 31 × 29691
Now multiplying the highest exponent prime factors to calculate the LCM of 8897 and 8907.
LCM(8897,8907) = 71 × 311 × 411 × 31 × 29691
LCM(8897,8907) = 79245579
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