What is the Least Common Multiple of 93653 and 93671?
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 93653 and 93671 is 8772570163.
LCM(93653,93671) = 8772570163
Least Common Multiple of 93653 and 93671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93653 and 93671, than apply into the LCM equation.
GCF(93653,93671) = 1
LCM(93653,93671) = ( 93653 × 93671) / 1
LCM(93653,93671) = 8772570163 / 1
LCM(93653,93671) = 8772570163
Least Common Multiple (LCM) of 93653 and 93671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93653 and 93671. First we will calculate the prime factors of 93653 and 93671.
Prime Factorization of 93653
Prime factors of 93653 are 7, 17, 787. Prime factorization of 93653 in exponential form is:
93653 = 71 × 171 × 7871
Prime Factorization of 93671
Prime factors of 93671 are 47, 1993. Prime factorization of 93671 in exponential form is:
93671 = 471 × 19931
Now multiplying the highest exponent prime factors to calculate the LCM of 93653 and 93671.
LCM(93653,93671) = 71 × 171 × 7871 × 471 × 19931
LCM(93653,93671) = 8772570163
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