What is the Least Common Multiple of 94226 and 94246?
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 94226 and 94246 is 4440211798.
LCM(94226,94246) = 4440211798
Least Common Multiple of 94226 and 94246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94226 and 94246, than apply into the LCM equation.
GCF(94226,94246) = 2
LCM(94226,94246) = ( 94226 × 94246) / 2
LCM(94226,94246) = 8880423596 / 2
LCM(94226,94246) = 4440211798
Least Common Multiple (LCM) of 94226 and 94246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94226 and 94246. First we will calculate the prime factors of 94226 and 94246.
Prime Factorization of 94226
Prime factors of 94226 are 2, 11, 4283. Prime factorization of 94226 in exponential form is:
94226 = 21 × 111 × 42831
Prime Factorization of 94246
Prime factors of 94246 are 2, 47123. Prime factorization of 94246 in exponential form is:
94246 = 21 × 471231
Now multiplying the highest exponent prime factors to calculate the LCM of 94226 and 94246.
LCM(94226,94246) = 21 × 111 × 42831 × 471231
LCM(94226,94246) = 4440211798
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