What is the Least Common Multiple of 74043 and 74057?
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 74043 and 74057 is 5483402451.
LCM(74043,74057) = 5483402451
Least Common Multiple of 74043 and 74057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74043 and 74057, than apply into the LCM equation.
GCF(74043,74057) = 1
LCM(74043,74057) = ( 74043 × 74057) / 1
LCM(74043,74057) = 5483402451 / 1
LCM(74043,74057) = 5483402451
Least Common Multiple (LCM) of 74043 and 74057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74043 and 74057. First we will calculate the prime factors of 74043 and 74057.
Prime Factorization of 74043
Prime factors of 74043 are 3, 19, 433. Prime factorization of 74043 in exponential form is:
74043 = 32 × 191 × 4331
Prime Factorization of 74057
Prime factors of 74057 are 103, 719. Prime factorization of 74057 in exponential form is:
74057 = 1031 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 74043 and 74057.
LCM(74043,74057) = 32 × 191 × 4331 × 1031 × 7191
LCM(74043,74057) = 5483402451
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