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What is the Least Common Multiple of 68820 and 68833?

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 68820 and 68833 is 4737087060.

LCM(68820,68833) = 4737087060

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Least Common Multiple of 68820 and 68833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68820 and 68833, than apply into the LCM equation.

GCF(68820,68833) = 1
LCM(68820,68833) = ( 68820 × 68833) / 1
LCM(68820,68833) = 4737087060 / 1
LCM(68820,68833) = 4737087060

Least Common Multiple (LCM) of 68820 and 68833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68820 and 68833. First we will calculate the prime factors of 68820 and 68833.

Prime Factorization of 68820

Prime factors of 68820 are 2, 3, 5, 31, 37. Prime factorization of 68820 in exponential form is:

68820 = 22 × 31 × 51 × 311 × 371

Prime Factorization of 68833

Prime factors of 68833 are 17, 4049. Prime factorization of 68833 in exponential form is:

68833 = 171 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 68820 and 68833.

LCM(68820,68833) = 22 × 31 × 51 × 311 × 371 × 171 × 40491
LCM(68820,68833) = 4737087060