What is the Least Common Multiple of 9877 and 9883?
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 9877 and 9883 is 97614391.
LCM(9877,9883) = 97614391
Least Common Multiple of 9877 and 9883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9877 and 9883, than apply into the LCM equation.
GCF(9877,9883) = 1
LCM(9877,9883) = ( 9877 × 9883) / 1
LCM(9877,9883) = 97614391 / 1
LCM(9877,9883) = 97614391
Least Common Multiple (LCM) of 9877 and 9883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9877 and 9883. First we will calculate the prime factors of 9877 and 9883.
Prime Factorization of 9877
Prime factors of 9877 are 7, 17, 83. Prime factorization of 9877 in exponential form is:
9877 = 71 × 171 × 831
Prime Factorization of 9883
Prime factors of 9883 are 9883. Prime factorization of 9883 in exponential form is:
9883 = 98831
Now multiplying the highest exponent prime factors to calculate the LCM of 9877 and 9883.
LCM(9877,9883) = 71 × 171 × 831 × 98831
LCM(9877,9883) = 97614391
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