What is the Least Common Multiple of 95684 and 95694?
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 95684 and 95694 is 4578192348.
LCM(95684,95694) = 4578192348
Least Common Multiple of 95684 and 95694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95684 and 95694, than apply into the LCM equation.
GCF(95684,95694) = 2
LCM(95684,95694) = ( 95684 × 95694) / 2
LCM(95684,95694) = 9156384696 / 2
LCM(95684,95694) = 4578192348
Least Common Multiple (LCM) of 95684 and 95694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95684 and 95694. First we will calculate the prime factors of 95684 and 95694.
Prime Factorization of 95684
Prime factors of 95684 are 2, 19, 1259. Prime factorization of 95684 in exponential form is:
95684 = 22 × 191 × 12591
Prime Factorization of 95694
Prime factors of 95694 are 2, 3, 41, 389. Prime factorization of 95694 in exponential form is:
95694 = 21 × 31 × 411 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 95684 and 95694.
LCM(95684,95694) = 22 × 191 × 12591 × 31 × 411 × 3891
LCM(95684,95694) = 4578192348
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