What is the Least Common Multiple of 78863 and 78868?
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 78863 and 78868 is 6219767084.
LCM(78863,78868) = 6219767084
Least Common Multiple of 78863 and 78868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78863 and 78868, than apply into the LCM equation.
GCF(78863,78868) = 1
LCM(78863,78868) = ( 78863 × 78868) / 1
LCM(78863,78868) = 6219767084 / 1
LCM(78863,78868) = 6219767084
Least Common Multiple (LCM) of 78863 and 78868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78863 and 78868. First we will calculate the prime factors of 78863 and 78868.
Prime Factorization of 78863
Prime factors of 78863 are 17, 4639. Prime factorization of 78863 in exponential form is:
78863 = 171 × 46391
Prime Factorization of 78868
Prime factors of 78868 are 2, 19717. Prime factorization of 78868 in exponential form is:
78868 = 22 × 197171
Now multiplying the highest exponent prime factors to calculate the LCM of 78863 and 78868.
LCM(78863,78868) = 171 × 46391 × 22 × 197171
LCM(78863,78868) = 6219767084
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