What is the Least Common Multiple of 80426 and 80437?
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 80426 and 80437 is 6469226162.
LCM(80426,80437) = 6469226162
Least Common Multiple of 80426 and 80437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80426 and 80437, than apply into the LCM equation.
GCF(80426,80437) = 1
LCM(80426,80437) = ( 80426 × 80437) / 1
LCM(80426,80437) = 6469226162 / 1
LCM(80426,80437) = 6469226162
Least Common Multiple (LCM) of 80426 and 80437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80426 and 80437. First we will calculate the prime factors of 80426 and 80437.
Prime Factorization of 80426
Prime factors of 80426 are 2, 40213. Prime factorization of 80426 in exponential form is:
80426 = 21 × 402131
Prime Factorization of 80437
Prime factors of 80437 are 7, 11491. Prime factorization of 80437 in exponential form is:
80437 = 71 × 114911
Now multiplying the highest exponent prime factors to calculate the LCM of 80426 and 80437.
LCM(80426,80437) = 21 × 402131 × 71 × 114911
LCM(80426,80437) = 6469226162
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