What is the Least Common Multiple of 9692 and 9702?
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 9702 is 47015892.
LCM(9692,9702) = 47015892
Least Common Multiple of 9692 and 9702 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 9702, than apply into the LCM equation.
GCF(9692,9702) = 2
LCM(9692,9702) = ( 9692 × 9702) / 2
LCM(9692,9702) = 94031784 / 2
LCM(9692,9702) = 47015892
Least Common Multiple (LCM) of 9692 and 9702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9702. First we will calculate the prime factors of 9692 and 9702.
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 9702
Prime factors of 9702 are 2, 3, 7, 11. Prime factorization of 9702 in exponential form is:
9702 = 21 × 32 × 72 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 9692 and 9702.
LCM(9692,9702) = 22 × 24231 × 32 × 72 × 111
LCM(9692,9702) = 47015892
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