What is the Least Common Multiple of 93907 and 93915?
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 93907 and 93915 is 8819275905.
LCM(93907,93915) = 8819275905
Least Common Multiple of 93907 and 93915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93907 and 93915, than apply into the LCM equation.
GCF(93907,93915) = 1
LCM(93907,93915) = ( 93907 × 93915) / 1
LCM(93907,93915) = 8819275905 / 1
LCM(93907,93915) = 8819275905
Least Common Multiple (LCM) of 93907 and 93915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93907 and 93915. First we will calculate the prime factors of 93907 and 93915.
Prime Factorization of 93907
Prime factors of 93907 are 11, 8537. Prime factorization of 93907 in exponential form is:
93907 = 111 × 85371
Prime Factorization of 93915
Prime factors of 93915 are 3, 5, 2087. Prime factorization of 93915 in exponential form is:
93915 = 32 × 51 × 20871
Now multiplying the highest exponent prime factors to calculate the LCM of 93907 and 93915.
LCM(93907,93915) = 111 × 85371 × 32 × 51 × 20871
LCM(93907,93915) = 8819275905
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