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What is the Least Common Multiple of 62901 and 62921?

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 62901 and 62921 is 3957793821.

LCM(62901,62921) = 3957793821

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Least Common Multiple of 62901 and 62921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62901 and 62921, than apply into the LCM equation.

GCF(62901,62921) = 1
LCM(62901,62921) = ( 62901 × 62921) / 1
LCM(62901,62921) = 3957793821 / 1
LCM(62901,62921) = 3957793821

Least Common Multiple (LCM) of 62901 and 62921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62901 and 62921. First we will calculate the prime factors of 62901 and 62921.

Prime Factorization of 62901

Prime factors of 62901 are 3, 29, 241. Prime factorization of 62901 in exponential form is:

62901 = 32 × 291 × 2411

Prime Factorization of 62921

Prime factors of 62921 are 62921. Prime factorization of 62921 in exponential form is:

62921 = 629211

Now multiplying the highest exponent prime factors to calculate the LCM of 62901 and 62921.

LCM(62901,62921) = 32 × 291 × 2411 × 629211
LCM(62901,62921) = 3957793821