What is the Least Common Multiple of 94236 and 94245?
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 94236 and 94245 is 2960423940.
LCM(94236,94245) = 2960423940
Least Common Multiple of 94236 and 94245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94236 and 94245, than apply into the LCM equation.
GCF(94236,94245) = 3
LCM(94236,94245) = ( 94236 × 94245) / 3
LCM(94236,94245) = 8881271820 / 3
LCM(94236,94245) = 2960423940
Least Common Multiple (LCM) of 94236 and 94245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94236 and 94245. First we will calculate the prime factors of 94236 and 94245.
Prime Factorization of 94236
Prime factors of 94236 are 2, 3, 7853. Prime factorization of 94236 in exponential form is:
94236 = 22 × 31 × 78531
Prime Factorization of 94245
Prime factors of 94245 are 3, 5, 61, 103. Prime factorization of 94245 in exponential form is:
94245 = 31 × 51 × 611 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 94236 and 94245.
LCM(94236,94245) = 22 × 31 × 78531 × 51 × 611 × 1031
LCM(94236,94245) = 2960423940
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