What is the Least Common Multiple of 94244 and 94262?
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 94244 and 94262 is 4441813964.
LCM(94244,94262) = 4441813964
Least Common Multiple of 94244 and 94262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94244 and 94262, than apply into the LCM equation.
GCF(94244,94262) = 2
LCM(94244,94262) = ( 94244 × 94262) / 2
LCM(94244,94262) = 8883627928 / 2
LCM(94244,94262) = 4441813964
Least Common Multiple (LCM) of 94244 and 94262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94244 and 94262. First we will calculate the prime factors of 94244 and 94262.
Prime Factorization of 94244
Prime factors of 94244 are 2, 23561. Prime factorization of 94244 in exponential form is:
94244 = 22 × 235611
Prime Factorization of 94262
Prime factors of 94262 are 2, 7, 6733. Prime factorization of 94262 in exponential form is:
94262 = 21 × 71 × 67331
Now multiplying the highest exponent prime factors to calculate the LCM of 94244 and 94262.
LCM(94244,94262) = 22 × 235611 × 71 × 67331
LCM(94244,94262) = 4441813964
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