What is the Least Common Multiple of 68863 and 68882?
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 68863 and 68882 is 4743421166.
LCM(68863,68882) = 4743421166
Least Common Multiple of 68863 and 68882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68863 and 68882, than apply into the LCM equation.
GCF(68863,68882) = 1
LCM(68863,68882) = ( 68863 × 68882) / 1
LCM(68863,68882) = 4743421166 / 1
LCM(68863,68882) = 4743421166
Least Common Multiple (LCM) of 68863 and 68882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68863 and 68882. First we will calculate the prime factors of 68863 and 68882.
Prime Factorization of 68863
Prime factors of 68863 are 68863. Prime factorization of 68863 in exponential form is:
68863 = 688631
Prime Factorization of 68882
Prime factors of 68882 are 2, 11, 31, 101. Prime factorization of 68882 in exponential form is:
68882 = 21 × 111 × 311 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 68863 and 68882.
LCM(68863,68882) = 688631 × 21 × 111 × 311 × 1011
LCM(68863,68882) = 4743421166
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