What is the Least Common Multiple of 93862 and 93867?
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 93862 and 93867 is 8810544354.
LCM(93862,93867) = 8810544354
Least Common Multiple of 93862 and 93867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93862 and 93867, than apply into the LCM equation.
GCF(93862,93867) = 1
LCM(93862,93867) = ( 93862 × 93867) / 1
LCM(93862,93867) = 8810544354 / 1
LCM(93862,93867) = 8810544354
Least Common Multiple (LCM) of 93862 and 93867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93862 and 93867. First we will calculate the prime factors of 93862 and 93867.
Prime Factorization of 93862
Prime factors of 93862 are 2, 71, 661. Prime factorization of 93862 in exponential form is:
93862 = 21 × 711 × 6611
Prime Factorization of 93867
Prime factors of 93867 are 3, 67, 467. Prime factorization of 93867 in exponential form is:
93867 = 31 × 671 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 93862 and 93867.
LCM(93862,93867) = 21 × 711 × 6611 × 31 × 671 × 4671
LCM(93862,93867) = 8810544354
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