What is the Least Common Multiple of 94276 and 94296?
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 94276 and 94296 is 2222462424.
LCM(94276,94296) = 2222462424
Least Common Multiple of 94276 and 94296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94276 and 94296, than apply into the LCM equation.
GCF(94276,94296) = 4
LCM(94276,94296) = ( 94276 × 94296) / 4
LCM(94276,94296) = 8889849696 / 4
LCM(94276,94296) = 2222462424
Least Common Multiple (LCM) of 94276 and 94296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94276 and 94296. First we will calculate the prime factors of 94276 and 94296.
Prime Factorization of 94276
Prime factors of 94276 are 2, 7, 13, 37. Prime factorization of 94276 in exponential form is:
94276 = 22 × 72 × 131 × 371
Prime Factorization of 94296
Prime factors of 94296 are 2, 3, 3929. Prime factorization of 94296 in exponential form is:
94296 = 23 × 31 × 39291
Now multiplying the highest exponent prime factors to calculate the LCM of 94276 and 94296.
LCM(94276,94296) = 23 × 72 × 131 × 371 × 31 × 39291
LCM(94276,94296) = 2222462424
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