What is the Least Common Multiple of 73422 and 73426?
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 73422 and 73426 is 2695541886.
LCM(73422,73426) = 2695541886
Least Common Multiple of 73422 and 73426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73422 and 73426, than apply into the LCM equation.
GCF(73422,73426) = 2
LCM(73422,73426) = ( 73422 × 73426) / 2
LCM(73422,73426) = 5391083772 / 2
LCM(73422,73426) = 2695541886
Least Common Multiple (LCM) of 73422 and 73426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73422 and 73426. First we will calculate the prime factors of 73422 and 73426.
Prime Factorization of 73422
Prime factors of 73422 are 2, 3, 4079. Prime factorization of 73422 in exponential form is:
73422 = 21 × 32 × 40791
Prime Factorization of 73426
Prime factors of 73426 are 2, 36713. Prime factorization of 73426 in exponential form is:
73426 = 21 × 367131
Now multiplying the highest exponent prime factors to calculate the LCM of 73422 and 73426.
LCM(73422,73426) = 21 × 32 × 40791 × 367131
LCM(73422,73426) = 2695541886
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