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What is the Least Common Multiple of 30685 and 30694?

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 30685 and 30694 is 941845390.

LCM(30685,30694) = 941845390

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Least Common Multiple of 30685 and 30694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30685 and 30694, than apply into the LCM equation.

GCF(30685,30694) = 1
LCM(30685,30694) = ( 30685 × 30694) / 1
LCM(30685,30694) = 941845390 / 1
LCM(30685,30694) = 941845390

Least Common Multiple (LCM) of 30685 and 30694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30685 and 30694. First we will calculate the prime factors of 30685 and 30694.

Prime Factorization of 30685

Prime factors of 30685 are 5, 17, 19. Prime factorization of 30685 in exponential form is:

30685 = 51 × 171 × 192

Prime Factorization of 30694

Prime factors of 30694 are 2, 103, 149. Prime factorization of 30694 in exponential form is:

30694 = 21 × 1031 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 30685 and 30694.

LCM(30685,30694) = 51 × 171 × 192 × 21 × 1031 × 1491
LCM(30685,30694) = 941845390