What is the Least Common Multiple of 66337 and 66346?
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 66337 and 66346 is 4401194602.
LCM(66337,66346) = 4401194602
Least Common Multiple of 66337 and 66346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66337 and 66346, than apply into the LCM equation.
GCF(66337,66346) = 1
LCM(66337,66346) = ( 66337 × 66346) / 1
LCM(66337,66346) = 4401194602 / 1
LCM(66337,66346) = 4401194602
Least Common Multiple (LCM) of 66337 and 66346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66337 and 66346. First we will calculate the prime factors of 66337 and 66346.
Prime Factorization of 66337
Prime factors of 66337 are 66337. Prime factorization of 66337 in exponential form is:
66337 = 663371
Prime Factorization of 66346
Prime factors of 66346 are 2, 7, 677. Prime factorization of 66346 in exponential form is:
66346 = 21 × 72 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 66337 and 66346.
LCM(66337,66346) = 663371 × 21 × 72 × 6771
LCM(66337,66346) = 4401194602
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