What is the Least Common Multiple of 74422 and 74427?
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 74422 and 74427 is 5539006194.
LCM(74422,74427) = 5539006194
Least Common Multiple of 74422 and 74427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74422 and 74427, than apply into the LCM equation.
GCF(74422,74427) = 1
LCM(74422,74427) = ( 74422 × 74427) / 1
LCM(74422,74427) = 5539006194 / 1
LCM(74422,74427) = 5539006194
Least Common Multiple (LCM) of 74422 and 74427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74422 and 74427. First we will calculate the prime factors of 74422 and 74427.
Prime Factorization of 74422
Prime factors of 74422 are 2, 127, 293. Prime factorization of 74422 in exponential form is:
74422 = 21 × 1271 × 2931
Prime Factorization of 74427
Prime factors of 74427 are 3, 24809. Prime factorization of 74427 in exponential form is:
74427 = 31 × 248091
Now multiplying the highest exponent prime factors to calculate the LCM of 74422 and 74427.
LCM(74422,74427) = 21 × 1271 × 2931 × 31 × 248091
LCM(74422,74427) = 5539006194
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