What is the Least Common Multiple of 94837 and 94854?
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 94837 and 94854 is 8995668798.
LCM(94837,94854) = 8995668798
Least Common Multiple of 94837 and 94854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94837 and 94854, than apply into the LCM equation.
GCF(94837,94854) = 1
LCM(94837,94854) = ( 94837 × 94854) / 1
LCM(94837,94854) = 8995668798 / 1
LCM(94837,94854) = 8995668798
Least Common Multiple (LCM) of 94837 and 94854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94837 and 94854. First we will calculate the prime factors of 94837 and 94854.
Prime Factorization of 94837
Prime factors of 94837 are 94837. Prime factorization of 94837 in exponential form is:
94837 = 948371
Prime Factorization of 94854
Prime factors of 94854 are 2, 3, 15809. Prime factorization of 94854 in exponential form is:
94854 = 21 × 31 × 158091
Now multiplying the highest exponent prime factors to calculate the LCM of 94837 and 94854.
LCM(94837,94854) = 948371 × 21 × 31 × 158091
LCM(94837,94854) = 8995668798
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