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What is the Least Common Multiple of 62026 and 62044?

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 62026 and 62044 is 1924170572.

LCM(62026,62044) = 1924170572

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Least Common Multiple of 62026 and 62044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62026 and 62044, than apply into the LCM equation.

GCF(62026,62044) = 2
LCM(62026,62044) = ( 62026 × 62044) / 2
LCM(62026,62044) = 3848341144 / 2
LCM(62026,62044) = 1924170572

Least Common Multiple (LCM) of 62026 and 62044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62026 and 62044. First we will calculate the prime factors of 62026 and 62044.

Prime Factorization of 62026

Prime factors of 62026 are 2, 31013. Prime factorization of 62026 in exponential form is:

62026 = 21 × 310131

Prime Factorization of 62044

Prime factors of 62044 are 2, 15511. Prime factorization of 62044 in exponential form is:

62044 = 22 × 155111

Now multiplying the highest exponent prime factors to calculate the LCM of 62026 and 62044.

LCM(62026,62044) = 22 × 310131 × 155111
LCM(62026,62044) = 1924170572