What is the Least Common Multiple of 74432 and 74441?
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 74432 and 74441 is 5540792512.
LCM(74432,74441) = 5540792512
Least Common Multiple of 74432 and 74441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74432 and 74441, than apply into the LCM equation.
GCF(74432,74441) = 1
LCM(74432,74441) = ( 74432 × 74441) / 1
LCM(74432,74441) = 5540792512 / 1
LCM(74432,74441) = 5540792512
Least Common Multiple (LCM) of 74432 and 74441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74432 and 74441. First we will calculate the prime factors of 74432 and 74441.
Prime Factorization of 74432
Prime factors of 74432 are 2, 1163. Prime factorization of 74432 in exponential form is:
74432 = 26 × 11631
Prime Factorization of 74441
Prime factors of 74441 are 74441. Prime factorization of 74441 in exponential form is:
74441 = 744411
Now multiplying the highest exponent prime factors to calculate the LCM of 74432 and 74441.
LCM(74432,74441) = 26 × 11631 × 744411
LCM(74432,74441) = 5540792512
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