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What is the Least Common Multiple of 48655 and 48668?

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 48655 and 48668 is 2367941540.

LCM(48655,48668) = 2367941540

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Least Common Multiple of 48655 and 48668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48655 and 48668, than apply into the LCM equation.

GCF(48655,48668) = 1
LCM(48655,48668) = ( 48655 × 48668) / 1
LCM(48655,48668) = 2367941540 / 1
LCM(48655,48668) = 2367941540

Least Common Multiple (LCM) of 48655 and 48668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48655 and 48668. First we will calculate the prime factors of 48655 and 48668.

Prime Factorization of 48655

Prime factors of 48655 are 5, 37, 263. Prime factorization of 48655 in exponential form is:

48655 = 51 × 371 × 2631

Prime Factorization of 48668

Prime factors of 48668 are 2, 23. Prime factorization of 48668 in exponential form is:

48668 = 22 × 233

Now multiplying the highest exponent prime factors to calculate the LCM of 48655 and 48668.

LCM(48655,48668) = 51 × 371 × 2631 × 22 × 233
LCM(48655,48668) = 2367941540