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What is the Least Common Multiple of 62027 and 62038?

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 62027 and 62038 is 3848031026.

LCM(62027,62038) = 3848031026

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Least Common Multiple of 62027 and 62038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62027 and 62038, than apply into the LCM equation.

GCF(62027,62038) = 1
LCM(62027,62038) = ( 62027 × 62038) / 1
LCM(62027,62038) = 3848031026 / 1
LCM(62027,62038) = 3848031026

Least Common Multiple (LCM) of 62027 and 62038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62027 and 62038. First we will calculate the prime factors of 62027 and 62038.

Prime Factorization of 62027

Prime factors of 62027 are 7, 8861. Prime factorization of 62027 in exponential form is:

62027 = 71 × 88611

Prime Factorization of 62038

Prime factors of 62038 are 2, 31019. Prime factorization of 62038 in exponential form is:

62038 = 21 × 310191

Now multiplying the highest exponent prime factors to calculate the LCM of 62027 and 62038.

LCM(62027,62038) = 71 × 88611 × 21 × 310191
LCM(62027,62038) = 3848031026