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What is the Least Common Multiple of 68431 and 68450?

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 68431 and 68450 is 4684101950.

LCM(68431,68450) = 4684101950

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Least Common Multiple of 68431 and 68450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68431 and 68450, than apply into the LCM equation.

GCF(68431,68450) = 1
LCM(68431,68450) = ( 68431 × 68450) / 1
LCM(68431,68450) = 4684101950 / 1
LCM(68431,68450) = 4684101950

Least Common Multiple (LCM) of 68431 and 68450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68431 and 68450. First we will calculate the prime factors of 68431 and 68450.

Prime Factorization of 68431

Prime factors of 68431 are 11, 6221. Prime factorization of 68431 in exponential form is:

68431 = 111 × 62211

Prime Factorization of 68450

Prime factors of 68450 are 2, 5, 37. Prime factorization of 68450 in exponential form is:

68450 = 21 × 52 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 68431 and 68450.

LCM(68431,68450) = 111 × 62211 × 21 × 52 × 372
LCM(68431,68450) = 4684101950