What is the Least Common Multiple of 92467 and 92486?
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 92486 is 8551902962.
LCM(92467,92486) = 8551902962
Least Common Multiple of 92467 and 92486 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 92486, than apply into the LCM equation.
GCF(92467,92486) = 1
LCM(92467,92486) = ( 92467 × 92486) / 1
LCM(92467,92486) = 8551902962 / 1
LCM(92467,92486) = 8551902962
Least Common Multiple (LCM) of 92467 and 92486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92467 and 92486. First we will calculate the prime factors of 92467 and 92486.
Prime Factorization of 92467
Prime factors of 92467 are 92467. Prime factorization of 92467 in exponential form is:
92467 = 924671
Prime Factorization of 92486
Prime factors of 92486 are 2, 131, 353. Prime factorization of 92486 in exponential form is:
92486 = 21 × 1311 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 92467 and 92486.
LCM(92467,92486) = 924671 × 21 × 1311 × 3531
LCM(92467,92486) = 8551902962
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