What is the Least Common Multiple of 91903 and 91915?
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 91903 and 91915 is 8447264245.
LCM(91903,91915) = 8447264245
Least Common Multiple of 91903 and 91915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91903 and 91915, than apply into the LCM equation.
GCF(91903,91915) = 1
LCM(91903,91915) = ( 91903 × 91915) / 1
LCM(91903,91915) = 8447264245 / 1
LCM(91903,91915) = 8447264245
Least Common Multiple (LCM) of 91903 and 91915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91903 and 91915. First we will calculate the prime factors of 91903 and 91915.
Prime Factorization of 91903
Prime factors of 91903 are 7, 19, 691. Prime factorization of 91903 in exponential form is:
91903 = 71 × 191 × 6911
Prime Factorization of 91915
Prime factors of 91915 are 5, 31, 593. Prime factorization of 91915 in exponential form is:
91915 = 51 × 311 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 91903 and 91915.
LCM(91903,91915) = 71 × 191 × 6911 × 51 × 311 × 5931
LCM(91903,91915) = 8447264245
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