What is the Least Common Multiple of 74204 and 74211?
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 74204 and 74211 is 5506753044.
LCM(74204,74211) = 5506753044
Least Common Multiple of 74204 and 74211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74204 and 74211, than apply into the LCM equation.
GCF(74204,74211) = 1
LCM(74204,74211) = ( 74204 × 74211) / 1
LCM(74204,74211) = 5506753044 / 1
LCM(74204,74211) = 5506753044
Least Common Multiple (LCM) of 74204 and 74211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74204 and 74211. First we will calculate the prime factors of 74204 and 74211.
Prime Factorization of 74204
Prime factors of 74204 are 2, 13, 1427. Prime factorization of 74204 in exponential form is:
74204 = 22 × 131 × 14271
Prime Factorization of 74211
Prime factors of 74211 are 3, 29, 853. Prime factorization of 74211 in exponential form is:
74211 = 31 × 291 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 74204 and 74211.
LCM(74204,74211) = 22 × 131 × 14271 × 31 × 291 × 8531
LCM(74204,74211) = 5506753044
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