What is the Least Common Multiple of 29425 and 29437?
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 29425 and 29437 is 866183725.
LCM(29425,29437) = 866183725
Least Common Multiple of 29425 and 29437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29425 and 29437, than apply into the LCM equation.
GCF(29425,29437) = 1
LCM(29425,29437) = ( 29425 × 29437) / 1
LCM(29425,29437) = 866183725 / 1
LCM(29425,29437) = 866183725
Least Common Multiple (LCM) of 29425 and 29437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29425 and 29437. First we will calculate the prime factors of 29425 and 29437.
Prime Factorization of 29425
Prime factors of 29425 are 5, 11, 107. Prime factorization of 29425 in exponential form is:
29425 = 52 × 111 × 1071
Prime Factorization of 29437
Prime factors of 29437 are 29437. Prime factorization of 29437 in exponential form is:
29437 = 294371
Now multiplying the highest exponent prime factors to calculate the LCM of 29425 and 29437.
LCM(29425,29437) = 52 × 111 × 1071 × 294371
LCM(29425,29437) = 866183725
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