What is the Least Common Multiple of 97861 and 97866?
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 97861 and 97866 is 9577264626.
LCM(97861,97866) = 9577264626
Least Common Multiple of 97861 and 97866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97861 and 97866, than apply into the LCM equation.
GCF(97861,97866) = 1
LCM(97861,97866) = ( 97861 × 97866) / 1
LCM(97861,97866) = 9577264626 / 1
LCM(97861,97866) = 9577264626
Least Common Multiple (LCM) of 97861 and 97866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97861 and 97866. First we will calculate the prime factors of 97861 and 97866.
Prime Factorization of 97861
Prime factors of 97861 are 97861. Prime factorization of 97861 in exponential form is:
97861 = 978611
Prime Factorization of 97866
Prime factors of 97866 are 2, 3, 5437. Prime factorization of 97866 in exponential form is:
97866 = 21 × 32 × 54371
Now multiplying the highest exponent prime factors to calculate the LCM of 97861 and 97866.
LCM(97861,97866) = 978611 × 21 × 32 × 54371
LCM(97861,97866) = 9577264626
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