What is the Least Common Multiple of 94243 and 94259?
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 94243 and 94259 is 8883250937.
LCM(94243,94259) = 8883250937
Least Common Multiple of 94243 and 94259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94243 and 94259, than apply into the LCM equation.
GCF(94243,94259) = 1
LCM(94243,94259) = ( 94243 × 94259) / 1
LCM(94243,94259) = 8883250937 / 1
LCM(94243,94259) = 8883250937
Least Common Multiple (LCM) of 94243 and 94259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94243 and 94259. First we will calculate the prime factors of 94243 and 94259.
Prime Factorization of 94243
Prime factors of 94243 are 73, 1291. Prime factorization of 94243 in exponential form is:
94243 = 731 × 12911
Prime Factorization of 94259
Prime factors of 94259 are 11, 19, 41. Prime factorization of 94259 in exponential form is:
94259 = 112 × 191 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 94243 and 94259.
LCM(94243,94259) = 731 × 12911 × 112 × 191 × 411
LCM(94243,94259) = 8883250937
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