What is the Least Common Multiple of 74293 and 74306?
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 74293 and 74306 is 5520415658.
LCM(74293,74306) = 5520415658
Least Common Multiple of 74293 and 74306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74293 and 74306, than apply into the LCM equation.
GCF(74293,74306) = 1
LCM(74293,74306) = ( 74293 × 74306) / 1
LCM(74293,74306) = 5520415658 / 1
LCM(74293,74306) = 5520415658
Least Common Multiple (LCM) of 74293 and 74306 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74293 and 74306. First we will calculate the prime factors of 74293 and 74306.
Prime Factorization of 74293
Prime factors of 74293 are 74293. Prime factorization of 74293 in exponential form is:
74293 = 742931
Prime Factorization of 74306
Prime factors of 74306 are 2, 53, 701. Prime factorization of 74306 in exponential form is:
74306 = 21 × 531 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 74293 and 74306.
LCM(74293,74306) = 742931 × 21 × 531 × 7011
LCM(74293,74306) = 5520415658
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