What is the Least Common Multiple of 94222 and 94238?
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 94222 and 94238 is 4439646418.
LCM(94222,94238) = 4439646418
Least Common Multiple of 94222 and 94238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94222 and 94238, than apply into the LCM equation.
GCF(94222,94238) = 2
LCM(94222,94238) = ( 94222 × 94238) / 2
LCM(94222,94238) = 8879292836 / 2
LCM(94222,94238) = 4439646418
Least Common Multiple (LCM) of 94222 and 94238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94222 and 94238. First we will calculate the prime factors of 94222 and 94238.
Prime Factorization of 94222
Prime factors of 94222 are 2, 47111. Prime factorization of 94222 in exponential form is:
94222 = 21 × 471111
Prime Factorization of 94238
Prime factors of 94238 are 2, 47119. Prime factorization of 94238 in exponential form is:
94238 = 21 × 471191
Now multiplying the highest exponent prime factors to calculate the LCM of 94222 and 94238.
LCM(94222,94238) = 21 × 471111 × 471191
LCM(94222,94238) = 4439646418
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