What is the Least Common Multiple of 94837 and 94846?
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 94846 is 8994910102.
LCM(94837,94846) = 8994910102
Least Common Multiple of 94837 and 94846 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 94846, than apply into the LCM equation.
GCF(94837,94846) = 1
LCM(94837,94846) = ( 94837 × 94846) / 1
LCM(94837,94846) = 8994910102 / 1
LCM(94837,94846) = 8994910102
Least Common Multiple (LCM) of 94837 and 94846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94837 and 94846. First we will calculate the prime factors of 94837 and 94846.
Prime Factorization of 94837
Prime factors of 94837 are 94837. Prime factorization of 94837 in exponential form is:
94837 = 948371
Prime Factorization of 94846
Prime factors of 94846 are 2, 47, 1009. Prime factorization of 94846 in exponential form is:
94846 = 21 × 471 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 94837 and 94846.
LCM(94837,94846) = 948371 × 21 × 471 × 10091
LCM(94837,94846) = 8994910102
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