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What is the Least Common Multiple of 30748 and 30762?

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 30748 and 30762 is 472934988.

LCM(30748,30762) = 472934988

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Least Common Multiple of 30748 and 30762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30748 and 30762, than apply into the LCM equation.

GCF(30748,30762) = 2
LCM(30748,30762) = ( 30748 × 30762) / 2
LCM(30748,30762) = 945869976 / 2
LCM(30748,30762) = 472934988

Least Common Multiple (LCM) of 30748 and 30762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30748 and 30762. First we will calculate the prime factors of 30748 and 30762.

Prime Factorization of 30748

Prime factors of 30748 are 2, 7687. Prime factorization of 30748 in exponential form is:

30748 = 22 × 76871

Prime Factorization of 30762

Prime factors of 30762 are 2, 3, 1709. Prime factorization of 30762 in exponential form is:

30762 = 21 × 32 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 30748 and 30762.

LCM(30748,30762) = 22 × 76871 × 32 × 17091
LCM(30748,30762) = 472934988