What is the Least Common Multiple of 94211 and 94218?
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 94211 and 94218 is 8876371998.
LCM(94211,94218) = 8876371998
Least Common Multiple of 94211 and 94218 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94211 and 94218, than apply into the LCM equation.
GCF(94211,94218) = 1
LCM(94211,94218) = ( 94211 × 94218) / 1
LCM(94211,94218) = 8876371998 / 1
LCM(94211,94218) = 8876371998
Least Common Multiple (LCM) of 94211 and 94218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94211 and 94218. First we will calculate the prime factors of 94211 and 94218.
Prime Factorization of 94211
Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:
94211 = 131 × 72471
Prime Factorization of 94218
Prime factors of 94218 are 2, 3, 41, 383. Prime factorization of 94218 in exponential form is:
94218 = 21 × 31 × 411 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 94211 and 94218.
LCM(94211,94218) = 131 × 72471 × 21 × 31 × 411 × 3831
LCM(94211,94218) = 8876371998
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