What is the Least Common Multiple of 93433 and 93440?
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 93433 and 93440 is 8730379520.
LCM(93433,93440) = 8730379520
Least Common Multiple of 93433 and 93440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93433 and 93440, than apply into the LCM equation.
GCF(93433,93440) = 1
LCM(93433,93440) = ( 93433 × 93440) / 1
LCM(93433,93440) = 8730379520 / 1
LCM(93433,93440) = 8730379520
Least Common Multiple (LCM) of 93433 and 93440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93433 and 93440. First we will calculate the prime factors of 93433 and 93440.
Prime Factorization of 93433
Prime factors of 93433 are 233, 401. Prime factorization of 93433 in exponential form is:
93433 = 2331 × 4011
Prime Factorization of 93440
Prime factors of 93440 are 2, 5, 73. Prime factorization of 93440 in exponential form is:
93440 = 28 × 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 93433 and 93440.
LCM(93433,93440) = 2331 × 4011 × 28 × 51 × 731
LCM(93433,93440) = 8730379520
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