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What is the Least Common Multiple of 10658 and 10672?

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 10658 and 10672 is 56871088.

LCM(10658,10672) = 56871088

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Least Common Multiple of 10658 and 10672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10658 and 10672, than apply into the LCM equation.

GCF(10658,10672) = 2
LCM(10658,10672) = ( 10658 × 10672) / 2
LCM(10658,10672) = 113742176 / 2
LCM(10658,10672) = 56871088

Least Common Multiple (LCM) of 10658 and 10672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10658 and 10672. First we will calculate the prime factors of 10658 and 10672.

Prime Factorization of 10658

Prime factors of 10658 are 2, 73. Prime factorization of 10658 in exponential form is:

10658 = 21 × 732

Prime Factorization of 10672

Prime factors of 10672 are 2, 23, 29. Prime factorization of 10672 in exponential form is:

10672 = 24 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10658 and 10672.

LCM(10658,10672) = 24 × 732 × 231 × 291
LCM(10658,10672) = 56871088