What is the Least Common Multiple of 93907 and 93925?
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 93925 is 8820214975.
LCM(93907,93925) = 8820214975
Least Common Multiple of 93907 and 93925 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 93925, than apply into the LCM equation.
GCF(93907,93925) = 1
LCM(93907,93925) = ( 93907 × 93925) / 1
LCM(93907,93925) = 8820214975 / 1
LCM(93907,93925) = 8820214975
Least Common Multiple (LCM) of 93907 and 93925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93907 and 93925. First we will calculate the prime factors of 93907 and 93925.
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 93925
Prime factors of 93925 are 5, 13, 17. Prime factorization of 93925 in exponential form is:
93925 = 52 × 131 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 93907 and 93925.
LCM(93907,93925) = 111 × 85371 × 52 × 131 × 172
LCM(93907,93925) = 8820214975
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