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What is the Least Common Multiple of 30729 and 30734?

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 30729 and 30734 is 944425086.

LCM(30729,30734) = 944425086

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Least Common Multiple of 30729 and 30734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30729 and 30734, than apply into the LCM equation.

GCF(30729,30734) = 1
LCM(30729,30734) = ( 30729 × 30734) / 1
LCM(30729,30734) = 944425086 / 1
LCM(30729,30734) = 944425086

Least Common Multiple (LCM) of 30729 and 30734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30729 and 30734. First we will calculate the prime factors of 30729 and 30734.

Prime Factorization of 30729

Prime factors of 30729 are 3, 10243. Prime factorization of 30729 in exponential form is:

30729 = 31 × 102431

Prime Factorization of 30734

Prime factors of 30734 are 2, 11, 127. Prime factorization of 30734 in exponential form is:

30734 = 21 × 112 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 30729 and 30734.

LCM(30729,30734) = 31 × 102431 × 21 × 112 × 1271
LCM(30729,30734) = 944425086