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What is the Least Common Multiple of 9652 and 9670?

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 9652 and 9670 is 46667420.

LCM(9652,9670) = 46667420

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Least Common Multiple of 9652 and 9670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9652 and 9670, than apply into the LCM equation.

GCF(9652,9670) = 2
LCM(9652,9670) = ( 9652 × 9670) / 2
LCM(9652,9670) = 93334840 / 2
LCM(9652,9670) = 46667420

Least Common Multiple (LCM) of 9652 and 9670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9652 and 9670. First we will calculate the prime factors of 9652 and 9670.

Prime Factorization of 9652

Prime factors of 9652 are 2, 19, 127. Prime factorization of 9652 in exponential form is:

9652 = 22 × 191 × 1271

Prime Factorization of 9670

Prime factors of 9670 are 2, 5, 967. Prime factorization of 9670 in exponential form is:

9670 = 21 × 51 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 9652 and 9670.

LCM(9652,9670) = 22 × 191 × 1271 × 51 × 9671
LCM(9652,9670) = 46667420