What is the Least Common Multiple of 91279 and 91299?
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 91279 and 91299 is 8333681421.
LCM(91279,91299) = 8333681421
Least Common Multiple of 91279 and 91299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91279 and 91299, than apply into the LCM equation.
GCF(91279,91299) = 1
LCM(91279,91299) = ( 91279 × 91299) / 1
LCM(91279,91299) = 8333681421 / 1
LCM(91279,91299) = 8333681421
Least Common Multiple (LCM) of 91279 and 91299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91279 and 91299. First we will calculate the prime factors of 91279 and 91299.
Prime Factorization of 91279
Prime factors of 91279 are 37, 2467. Prime factorization of 91279 in exponential form is:
91279 = 371 × 24671
Prime Factorization of 91299
Prime factors of 91299 are 3, 13, 2341. Prime factorization of 91299 in exponential form is:
91299 = 31 × 131 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 91279 and 91299.
LCM(91279,91299) = 371 × 24671 × 31 × 131 × 23411
LCM(91279,91299) = 8333681421
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