What is the Least Common Multiple of 94846 and 94863?
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 94846 and 94863 is 8997376098.
LCM(94846,94863) = 8997376098
Least Common Multiple of 94846 and 94863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94846 and 94863, than apply into the LCM equation.
GCF(94846,94863) = 1
LCM(94846,94863) = ( 94846 × 94863) / 1
LCM(94846,94863) = 8997376098 / 1
LCM(94846,94863) = 8997376098
Least Common Multiple (LCM) of 94846 and 94863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94846 and 94863. First we will calculate the prime factors of 94846 and 94863.
Prime Factorization of 94846
Prime factors of 94846 are 2, 47, 1009. Prime factorization of 94846 in exponential form is:
94846 = 21 × 471 × 10091
Prime Factorization of 94863
Prime factors of 94863 are 3, 103, 307. Prime factorization of 94863 in exponential form is:
94863 = 31 × 1031 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 94846 and 94863.
LCM(94846,94863) = 21 × 471 × 10091 × 31 × 1031 × 3071
LCM(94846,94863) = 8997376098
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