What is the Least Common Multiple of 96379 and 96399?
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 96379 and 96399 is 9290839221.
LCM(96379,96399) = 9290839221
Least Common Multiple of 96379 and 96399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96379 and 96399, than apply into the LCM equation.
GCF(96379,96399) = 1
LCM(96379,96399) = ( 96379 × 96399) / 1
LCM(96379,96399) = 9290839221 / 1
LCM(96379,96399) = 9290839221
Least Common Multiple (LCM) of 96379 and 96399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96379 and 96399. First we will calculate the prime factors of 96379 and 96399.
Prime Factorization of 96379
Prime factors of 96379 are 31, 3109. Prime factorization of 96379 in exponential form is:
96379 = 311 × 31091
Prime Factorization of 96399
Prime factors of 96399 are 3, 10711. Prime factorization of 96399 in exponential form is:
96399 = 32 × 107111
Now multiplying the highest exponent prime factors to calculate the LCM of 96379 and 96399.
LCM(96379,96399) = 311 × 31091 × 32 × 107111
LCM(96379,96399) = 9290839221
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