What is the Least Common Multiple of 93487 and 93507?
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 93487 and 93507 is 8741688909.
LCM(93487,93507) = 8741688909
Least Common Multiple of 93487 and 93507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93487 and 93507, than apply into the LCM equation.
GCF(93487,93507) = 1
LCM(93487,93507) = ( 93487 × 93507) / 1
LCM(93487,93507) = 8741688909 / 1
LCM(93487,93507) = 8741688909
Least Common Multiple (LCM) of 93487 and 93507 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93487 and 93507. First we will calculate the prime factors of 93487 and 93507.
Prime Factorization of 93487
Prime factors of 93487 are 93487. Prime factorization of 93487 in exponential form is:
93487 = 934871
Prime Factorization of 93507
Prime factors of 93507 are 3, 71, 439. Prime factorization of 93507 in exponential form is:
93507 = 31 × 711 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 93487 and 93507.
LCM(93487,93507) = 934871 × 31 × 711 × 4391
LCM(93487,93507) = 8741688909
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