What is the Least Common Multiple of 70907 and 70927?
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 70907 and 70927 is 5029220789.
LCM(70907,70927) = 5029220789
Least Common Multiple of 70907 and 70927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70907 and 70927, than apply into the LCM equation.
GCF(70907,70927) = 1
LCM(70907,70927) = ( 70907 × 70927) / 1
LCM(70907,70927) = 5029220789 / 1
LCM(70907,70927) = 5029220789
Least Common Multiple (LCM) of 70907 and 70927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70907 and 70927. First we will calculate the prime factors of 70907 and 70927.
Prime Factorization of 70907
Prime factors of 70907 are 17, 43, 97. Prime factorization of 70907 in exponential form is:
70907 = 171 × 431 × 971
Prime Factorization of 70927
Prime factors of 70927 are 19, 3733. Prime factorization of 70927 in exponential form is:
70927 = 191 × 37331
Now multiplying the highest exponent prime factors to calculate the LCM of 70907 and 70927.
LCM(70907,70927) = 171 × 431 × 971 × 191 × 37331
LCM(70907,70927) = 5029220789
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