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What is the Least Common Multiple of 60799 and 60819?

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 60799 and 60819 is 3697734381.

LCM(60799,60819) = 3697734381

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Least Common Multiple of 60799 and 60819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60799 and 60819, than apply into the LCM equation.

GCF(60799,60819) = 1
LCM(60799,60819) = ( 60799 × 60819) / 1
LCM(60799,60819) = 3697734381 / 1
LCM(60799,60819) = 3697734381

Least Common Multiple (LCM) of 60799 and 60819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60799 and 60819. First we will calculate the prime factors of 60799 and 60819.

Prime Factorization of 60799

Prime factors of 60799 are 163, 373. Prime factorization of 60799 in exponential form is:

60799 = 1631 × 3731

Prime Factorization of 60819

Prime factors of 60819 are 3, 11, 19, 97. Prime factorization of 60819 in exponential form is:

60819 = 31 × 111 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 60799 and 60819.

LCM(60799,60819) = 1631 × 3731 × 31 × 111 × 191 × 971
LCM(60799,60819) = 3697734381