What is the Least Common Multiple of 99638 and 99655?
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 99638 and 99655 is 9929424890.
LCM(99638,99655) = 9929424890
Least Common Multiple of 99638 and 99655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99638 and 99655, than apply into the LCM equation.
GCF(99638,99655) = 1
LCM(99638,99655) = ( 99638 × 99655) / 1
LCM(99638,99655) = 9929424890 / 1
LCM(99638,99655) = 9929424890
Least Common Multiple (LCM) of 99638 and 99655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99638 and 99655. First we will calculate the prime factors of 99638 and 99655.
Prime Factorization of 99638
Prime factors of 99638 are 2, 7, 11, 647. Prime factorization of 99638 in exponential form is:
99638 = 21 × 71 × 111 × 6471
Prime Factorization of 99655
Prime factors of 99655 are 5, 19, 1049. Prime factorization of 99655 in exponential form is:
99655 = 51 × 191 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 99638 and 99655.
LCM(99638,99655) = 21 × 71 × 111 × 6471 × 51 × 191 × 10491
LCM(99638,99655) = 9929424890
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