What is the Least Common Multiple of 88887 and 88907?
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 88887 and 88907 is 7902676509.
LCM(88887,88907) = 7902676509
Least Common Multiple of 88887 and 88907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88887 and 88907, than apply into the LCM equation.
GCF(88887,88907) = 1
LCM(88887,88907) = ( 88887 × 88907) / 1
LCM(88887,88907) = 7902676509 / 1
LCM(88887,88907) = 7902676509
Least Common Multiple (LCM) of 88887 and 88907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88887 and 88907. First we will calculate the prime factors of 88887 and 88907.
Prime Factorization of 88887
Prime factors of 88887 are 3, 29629. Prime factorization of 88887 in exponential form is:
88887 = 31 × 296291
Prime Factorization of 88907
Prime factors of 88907 are 7, 13, 977. Prime factorization of 88907 in exponential form is:
88907 = 71 × 131 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 88887 and 88907.
LCM(88887,88907) = 31 × 296291 × 71 × 131 × 9771
LCM(88887,88907) = 7902676509
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