What is the Least Common Multiple of 94847 and 94860?
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 94847 and 94860 is 8997186420.
LCM(94847,94860) = 8997186420
Least Common Multiple of 94847 and 94860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94847 and 94860, than apply into the LCM equation.
GCF(94847,94860) = 1
LCM(94847,94860) = ( 94847 × 94860) / 1
LCM(94847,94860) = 8997186420 / 1
LCM(94847,94860) = 8997186420
Least Common Multiple (LCM) of 94847 and 94860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94847 and 94860. First we will calculate the prime factors of 94847 and 94860.
Prime Factorization of 94847
Prime factors of 94847 are 94847. Prime factorization of 94847 in exponential form is:
94847 = 948471
Prime Factorization of 94860
Prime factors of 94860 are 2, 3, 5, 17, 31. Prime factorization of 94860 in exponential form is:
94860 = 22 × 32 × 51 × 171 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 94847 and 94860.
LCM(94847,94860) = 948471 × 22 × 32 × 51 × 171 × 311
LCM(94847,94860) = 8997186420
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