What is the Least Common Multiple of 92467 and 92481?
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 92467 and 92481 is 8551440627.
LCM(92467,92481) = 8551440627
Least Common Multiple of 92467 and 92481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92467 and 92481, than apply into the LCM equation.
GCF(92467,92481) = 1
LCM(92467,92481) = ( 92467 × 92481) / 1
LCM(92467,92481) = 8551440627 / 1
LCM(92467,92481) = 8551440627
Least Common Multiple (LCM) of 92467 and 92481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92467 and 92481. First we will calculate the prime factors of 92467 and 92481.
Prime Factorization of 92467
Prime factors of 92467 are 92467. Prime factorization of 92467 in exponential form is:
92467 = 924671
Prime Factorization of 92481
Prime factors of 92481 are 3, 29, 1063. Prime factorization of 92481 in exponential form is:
92481 = 31 × 291 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 92467 and 92481.
LCM(92467,92481) = 924671 × 31 × 291 × 10631
LCM(92467,92481) = 8551440627
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