What is the Least Common Multiple of 69887 and 69898?
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 69887 and 69898 is 4884961526.
LCM(69887,69898) = 4884961526
Least Common Multiple of 69887 and 69898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69887 and 69898, than apply into the LCM equation.
GCF(69887,69898) = 1
LCM(69887,69898) = ( 69887 × 69898) / 1
LCM(69887,69898) = 4884961526 / 1
LCM(69887,69898) = 4884961526
Least Common Multiple (LCM) of 69887 and 69898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69887 and 69898. First we will calculate the prime factors of 69887 and 69898.
Prime Factorization of 69887
Prime factors of 69887 are 17, 4111. Prime factorization of 69887 in exponential form is:
69887 = 171 × 41111
Prime Factorization of 69898
Prime factors of 69898 are 2, 34949. Prime factorization of 69898 in exponential form is:
69898 = 21 × 349491
Now multiplying the highest exponent prime factors to calculate the LCM of 69887 and 69898.
LCM(69887,69898) = 171 × 41111 × 21 × 349491
LCM(69887,69898) = 4884961526
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