What is the Least Common Multiple of 12425 and 12437?
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 12425 and 12437 is 154529725.
LCM(12425,12437) = 154529725
Least Common Multiple of 12425 and 12437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12425 and 12437, than apply into the LCM equation.
GCF(12425,12437) = 1
LCM(12425,12437) = ( 12425 × 12437) / 1
LCM(12425,12437) = 154529725 / 1
LCM(12425,12437) = 154529725
Least Common Multiple (LCM) of 12425 and 12437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12425 and 12437. First we will calculate the prime factors of 12425 and 12437.
Prime Factorization of 12425
Prime factors of 12425 are 5, 7, 71. Prime factorization of 12425 in exponential form is:
12425 = 52 × 71 × 711
Prime Factorization of 12437
Prime factors of 12437 are 12437. Prime factorization of 12437 in exponential form is:
12437 = 124371
Now multiplying the highest exponent prime factors to calculate the LCM of 12425 and 12437.
LCM(12425,12437) = 52 × 71 × 711 × 124371
LCM(12425,12437) = 154529725
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