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What is the Least Common Multiple of 30753 and 30760?

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 30760 is 945962280.

LCM(30753,30760) = 945962280

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Least Common Multiple of 30753 and 30760 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 30760, than apply into the LCM equation.

GCF(30753,30760) = 1
LCM(30753,30760) = ( 30753 × 30760) / 1
LCM(30753,30760) = 945962280 / 1
LCM(30753,30760) = 945962280

Least Common Multiple (LCM) of 30753 and 30760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30753 and 30760. First we will calculate the prime factors of 30753 and 30760.

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 30760

Prime factors of 30760 are 2, 5, 769. Prime factorization of 30760 in exponential form is:

30760 = 23 × 51 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 30753 and 30760.

LCM(30753,30760) = 33 × 171 × 671 × 23 × 51 × 7691
LCM(30753,30760) = 945962280