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What is the Least Common Multiple of 55654 and 55659?

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 55654 and 55659 is 3097645986.

LCM(55654,55659) = 3097645986

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Least Common Multiple of 55654 and 55659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55654 and 55659, than apply into the LCM equation.

GCF(55654,55659) = 1
LCM(55654,55659) = ( 55654 × 55659) / 1
LCM(55654,55659) = 3097645986 / 1
LCM(55654,55659) = 3097645986

Least Common Multiple (LCM) of 55654 and 55659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55654 and 55659. First we will calculate the prime factors of 55654 and 55659.

Prime Factorization of 55654

Prime factors of 55654 are 2, 27827. Prime factorization of 55654 in exponential form is:

55654 = 21 × 278271

Prime Factorization of 55659

Prime factors of 55659 are 3, 18553. Prime factorization of 55659 in exponential form is:

55659 = 31 × 185531

Now multiplying the highest exponent prime factors to calculate the LCM of 55654 and 55659.

LCM(55654,55659) = 21 × 278271 × 31 × 185531
LCM(55654,55659) = 3097645986