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What is the Least Common Multiple of 10654 and 10670?

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 10654 and 10670 is 56839090.

LCM(10654,10670) = 56839090

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Least Common Multiple of 10654 and 10670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10654 and 10670, than apply into the LCM equation.

GCF(10654,10670) = 2
LCM(10654,10670) = ( 10654 × 10670) / 2
LCM(10654,10670) = 113678180 / 2
LCM(10654,10670) = 56839090

Least Common Multiple (LCM) of 10654 and 10670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10654 and 10670. First we will calculate the prime factors of 10654 and 10670.

Prime Factorization of 10654

Prime factors of 10654 are 2, 7, 761. Prime factorization of 10654 in exponential form is:

10654 = 21 × 71 × 7611

Prime Factorization of 10670

Prime factors of 10670 are 2, 5, 11, 97. Prime factorization of 10670 in exponential form is:

10670 = 21 × 51 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 10654 and 10670.

LCM(10654,10670) = 21 × 71 × 7611 × 51 × 111 × 971
LCM(10654,10670) = 56839090