What is the Least Common Multiple of 93862 and 93877?
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 93877 is 8811482974.
LCM(93862,93877) = 8811482974
Least Common Multiple of 93862 and 93877 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 93877, than apply into the LCM equation.
GCF(93862,93877) = 1
LCM(93862,93877) = ( 93862 × 93877) / 1
LCM(93862,93877) = 8811482974 / 1
LCM(93862,93877) = 8811482974
Least Common Multiple (LCM) of 93862 and 93877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93862 and 93877. First we will calculate the prime factors of 93862 and 93877.
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 93877
Prime factors of 93877 are 7, 13411. Prime factorization of 93877 in exponential form is:
93877 = 71 × 134111
Now multiplying the highest exponent prime factors to calculate the LCM of 93862 and 93877.
LCM(93862,93877) = 21 × 711 × 6611 × 71 × 134111
LCM(93862,93877) = 8811482974
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