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What is the Least Common Multiple of 48588 and 48603?

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 48588 and 48603 is 787174188.

LCM(48588,48603) = 787174188

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Least Common Multiple of 48588 and 48603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48588 and 48603, than apply into the LCM equation.

GCF(48588,48603) = 3
LCM(48588,48603) = ( 48588 × 48603) / 3
LCM(48588,48603) = 2361522564 / 3
LCM(48588,48603) = 787174188

Least Common Multiple (LCM) of 48588 and 48603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48588 and 48603. First we will calculate the prime factors of 48588 and 48603.

Prime Factorization of 48588

Prime factors of 48588 are 2, 3, 4049. Prime factorization of 48588 in exponential form is:

48588 = 22 × 31 × 40491

Prime Factorization of 48603

Prime factors of 48603 are 3, 17, 953. Prime factorization of 48603 in exponential form is:

48603 = 31 × 171 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 48588 and 48603.

LCM(48588,48603) = 22 × 31 × 40491 × 171 × 9531
LCM(48588,48603) = 787174188