What is the Least Common Multiple of 93527 and 93532?
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 93527 and 93532 is 8747767364.
LCM(93527,93532) = 8747767364
Least Common Multiple of 93527 and 93532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93527 and 93532, than apply into the LCM equation.
GCF(93527,93532) = 1
LCM(93527,93532) = ( 93527 × 93532) / 1
LCM(93527,93532) = 8747767364 / 1
LCM(93527,93532) = 8747767364
Least Common Multiple (LCM) of 93527 and 93532 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93527 and 93532. First we will calculate the prime factors of 93527 and 93532.
Prime Factorization of 93527
Prime factors of 93527 are 7, 31, 431. Prime factorization of 93527 in exponential form is:
93527 = 71 × 311 × 4311
Prime Factorization of 93532
Prime factors of 93532 are 2, 67, 349. Prime factorization of 93532 in exponential form is:
93532 = 22 × 671 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 93527 and 93532.
LCM(93527,93532) = 71 × 311 × 4311 × 22 × 671 × 3491
LCM(93527,93532) = 8747767364
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