What is the Least Common Multiple of 93721 and 93733?
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 93721 and 93733 is 8784750493.
LCM(93721,93733) = 8784750493
Least Common Multiple of 93721 and 93733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93721 and 93733, than apply into the LCM equation.
GCF(93721,93733) = 1
LCM(93721,93733) = ( 93721 × 93733) / 1
LCM(93721,93733) = 8784750493 / 1
LCM(93721,93733) = 8784750493
Least Common Multiple (LCM) of 93721 and 93733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93721 and 93733. First we will calculate the prime factors of 93721 and 93733.
Prime Factorization of 93721
Prime factors of 93721 are 17, 37, 149. Prime factorization of 93721 in exponential form is:
93721 = 171 × 371 × 1491
Prime Factorization of 93733
Prime factors of 93733 are 67, 1399. Prime factorization of 93733 in exponential form is:
93733 = 671 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 93721 and 93733.
LCM(93721,93733) = 171 × 371 × 1491 × 671 × 13991
LCM(93721,93733) = 8784750493
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