What is the Least Common Multiple of 9740 and 9753?
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 9740 and 9753 is 94994220.
LCM(9740,9753) = 94994220
Least Common Multiple of 9740 and 9753 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9740 and 9753, than apply into the LCM equation.
GCF(9740,9753) = 1
LCM(9740,9753) = ( 9740 × 9753) / 1
LCM(9740,9753) = 94994220 / 1
LCM(9740,9753) = 94994220
Least Common Multiple (LCM) of 9740 and 9753 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9753. First we will calculate the prime factors of 9740 and 9753.
Prime Factorization of 9740
Prime factors of 9740 are 2, 5, 487. Prime factorization of 9740 in exponential form is:
9740 = 22 × 51 × 4871
Prime Factorization of 9753
Prime factors of 9753 are 3, 3251. Prime factorization of 9753 in exponential form is:
9753 = 31 × 32511
Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9753.
LCM(9740,9753) = 22 × 51 × 4871 × 31 × 32511
LCM(9740,9753) = 94994220
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