What is the Least Common Multiple of 9692 and 9710?
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 9692 and 9710 is 47054660.
LCM(9692,9710) = 47054660
Least Common Multiple of 9692 and 9710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9692 and 9710, than apply into the LCM equation.
GCF(9692,9710) = 2
LCM(9692,9710) = ( 9692 × 9710) / 2
LCM(9692,9710) = 94109320 / 2
LCM(9692,9710) = 47054660
Least Common Multiple (LCM) of 9692 and 9710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9710. First we will calculate the prime factors of 9692 and 9710.
Prime Factorization of 9692
Prime factors of 9692 are 2, 2423. Prime factorization of 9692 in exponential form is:
9692 = 22 × 24231
Prime Factorization of 9710
Prime factors of 9710 are 2, 5, 971. Prime factorization of 9710 in exponential form is:
9710 = 21 × 51 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 9692 and 9710.
LCM(9692,9710) = 22 × 24231 × 51 × 9711
LCM(9692,9710) = 47054660
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