What is the Least Common Multiple of 69971 and 69989?
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 69971 and 69989 is 4897200319.
LCM(69971,69989) = 4897200319
Least Common Multiple of 69971 and 69989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69971 and 69989, than apply into the LCM equation.
GCF(69971,69989) = 1
LCM(69971,69989) = ( 69971 × 69989) / 1
LCM(69971,69989) = 4897200319 / 1
LCM(69971,69989) = 4897200319
Least Common Multiple (LCM) of 69971 and 69989 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69971 and 69989. First we will calculate the prime factors of 69971 and 69989.
Prime Factorization of 69971
Prime factors of 69971 are 11, 6361. Prime factorization of 69971 in exponential form is:
69971 = 111 × 63611
Prime Factorization of 69989
Prime factors of 69989 are 17, 23, 179. Prime factorization of 69989 in exponential form is:
69989 = 171 × 231 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 69971 and 69989.
LCM(69971,69989) = 111 × 63611 × 171 × 231 × 1791
LCM(69971,69989) = 4897200319
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