What is the Least Common Multiple of 93464 and 93473?
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 93464 and 93473 is 8736360472.
LCM(93464,93473) = 8736360472
Least Common Multiple of 93464 and 93473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93464 and 93473, than apply into the LCM equation.
GCF(93464,93473) = 1
LCM(93464,93473) = ( 93464 × 93473) / 1
LCM(93464,93473) = 8736360472 / 1
LCM(93464,93473) = 8736360472
Least Common Multiple (LCM) of 93464 and 93473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93464 and 93473. First we will calculate the prime factors of 93464 and 93473.
Prime Factorization of 93464
Prime factors of 93464 are 2, 7, 1669. Prime factorization of 93464 in exponential form is:
93464 = 23 × 71 × 16691
Prime Factorization of 93473
Prime factors of 93473 are 211, 443. Prime factorization of 93473 in exponential form is:
93473 = 2111 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 93464 and 93473.
LCM(93464,93473) = 23 × 71 × 16691 × 2111 × 4431
LCM(93464,93473) = 8736360472
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