What is the Least Common Multiple of 9630 and 9638?
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 9630 and 9638 is 46406970.
LCM(9630,9638) = 46406970
Least Common Multiple of 9630 and 9638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9630 and 9638, than apply into the LCM equation.
GCF(9630,9638) = 2
LCM(9630,9638) = ( 9630 × 9638) / 2
LCM(9630,9638) = 92813940 / 2
LCM(9630,9638) = 46406970
Least Common Multiple (LCM) of 9630 and 9638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9630 and 9638. First we will calculate the prime factors of 9630 and 9638.
Prime Factorization of 9630
Prime factors of 9630 are 2, 3, 5, 107. Prime factorization of 9630 in exponential form is:
9630 = 21 × 32 × 51 × 1071
Prime Factorization of 9638
Prime factors of 9638 are 2, 61, 79. Prime factorization of 9638 in exponential form is:
9638 = 21 × 611 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 9630 and 9638.
LCM(9630,9638) = 21 × 32 × 51 × 1071 × 611 × 791
LCM(9630,9638) = 46406970
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