What is the Least Common Multiple of 88907 and 88925?
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 88907 and 88925 is 7906054975.
LCM(88907,88925) = 7906054975
Least Common Multiple of 88907 and 88925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88907 and 88925, than apply into the LCM equation.
GCF(88907,88925) = 1
LCM(88907,88925) = ( 88907 × 88925) / 1
LCM(88907,88925) = 7906054975 / 1
LCM(88907,88925) = 7906054975
Least Common Multiple (LCM) of 88907 and 88925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88907 and 88925. First we will calculate the prime factors of 88907 and 88925.
Prime Factorization of 88907
Prime factors of 88907 are 7, 13, 977. Prime factorization of 88907 in exponential form is:
88907 = 71 × 131 × 9771
Prime Factorization of 88925
Prime factors of 88925 are 5, 3557. Prime factorization of 88925 in exponential form is:
88925 = 52 × 35571
Now multiplying the highest exponent prime factors to calculate the LCM of 88907 and 88925.
LCM(88907,88925) = 71 × 131 × 9771 × 52 × 35571
LCM(88907,88925) = 7906054975
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