What is the Least Common Multiple of 3907 and 3922?
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 3907 and 3922 is 15323254.
LCM(3907,3922) = 15323254
Least Common Multiple of 3907 and 3922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3907 and 3922, than apply into the LCM equation.
GCF(3907,3922) = 1
LCM(3907,3922) = ( 3907 × 3922) / 1
LCM(3907,3922) = 15323254 / 1
LCM(3907,3922) = 15323254
Least Common Multiple (LCM) of 3907 and 3922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3907 and 3922. First we will calculate the prime factors of 3907 and 3922.
Prime Factorization of 3907
Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:
3907 = 39071
Prime Factorization of 3922
Prime factors of 3922 are 2, 37, 53. Prime factorization of 3922 in exponential form is:
3922 = 21 × 371 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 3907 and 3922.
LCM(3907,3922) = 39071 × 21 × 371 × 531
LCM(3907,3922) = 15323254
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