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What is the Least Common Multiple of 30753 and 30757?

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 30753 and 30757 is 945870021.

LCM(30753,30757) = 945870021

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Least Common Multiple of 30753 and 30757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30753 and 30757, than apply into the LCM equation.

GCF(30753,30757) = 1
LCM(30753,30757) = ( 30753 × 30757) / 1
LCM(30753,30757) = 945870021 / 1
LCM(30753,30757) = 945870021

Least Common Multiple (LCM) of 30753 and 30757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30753 and 30757. First we will calculate the prime factors of 30753 and 30757.

Prime Factorization of 30753

Prime factors of 30753 are 3, 17, 67. Prime factorization of 30753 in exponential form is:

30753 = 33 × 171 × 671

Prime Factorization of 30757

Prime factors of 30757 are 30757. Prime factorization of 30757 in exponential form is:

30757 = 307571

Now multiplying the highest exponent prime factors to calculate the LCM of 30753 and 30757.

LCM(30753,30757) = 33 × 171 × 671 × 307571
LCM(30753,30757) = 945870021