What is the Least Common Multiple of 94236 and 94251?
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 94251 is 2960612412.
LCM(94236,94251) = 2960612412
Least Common Multiple of 94236 and 94251 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 94251, than apply into the LCM equation.
GCF(94236,94251) = 3
LCM(94236,94251) = ( 94236 × 94251) / 3
LCM(94236,94251) = 8881837236 / 3
LCM(94236,94251) = 2960612412
Least Common Multiple (LCM) of 94236 and 94251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94236 and 94251. First we will calculate the prime factors of 94236 and 94251.
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 94251
Prime factors of 94251 are 3, 89, 353. Prime factorization of 94251 in exponential form is:
94251 = 31 × 891 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 94236 and 94251.
LCM(94236,94251) = 22 × 31 × 78531 × 891 × 3531
LCM(94236,94251) = 2960612412
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