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What is the Least Common Multiple of 65021 and 65038?

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 65021 and 65038 is 4228835798.

LCM(65021,65038) = 4228835798

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Least Common Multiple of 65021 and 65038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65021 and 65038, than apply into the LCM equation.

GCF(65021,65038) = 1
LCM(65021,65038) = ( 65021 × 65038) / 1
LCM(65021,65038) = 4228835798 / 1
LCM(65021,65038) = 4228835798

Least Common Multiple (LCM) of 65021 and 65038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65021 and 65038. First we will calculate the prime factors of 65021 and 65038.

Prime Factorization of 65021

Prime factors of 65021 are 11, 23, 257. Prime factorization of 65021 in exponential form is:

65021 = 111 × 231 × 2571

Prime Factorization of 65038

Prime factors of 65038 are 2, 31, 1049. Prime factorization of 65038 in exponential form is:

65038 = 21 × 311 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 65021 and 65038.

LCM(65021,65038) = 111 × 231 × 2571 × 21 × 311 × 10491
LCM(65021,65038) = 4228835798