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What is the Least Common Multiple of 62026 and 62037?

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 62037 is 3847906962.

LCM(62026,62037) = 3847906962

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Least Common Multiple of 62026 and 62037 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 62037, than apply into the LCM equation.

GCF(62026,62037) = 1
LCM(62026,62037) = ( 62026 × 62037) / 1
LCM(62026,62037) = 3847906962 / 1
LCM(62026,62037) = 3847906962

Least Common Multiple (LCM) of 62026 and 62037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62026 and 62037. First we will calculate the prime factors of 62026 and 62037.

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 62037

Prime factors of 62037 are 3, 61, 113. Prime factorization of 62037 in exponential form is:

62037 = 32 × 611 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 62026 and 62037.

LCM(62026,62037) = 21 × 310131 × 32 × 611 × 1131
LCM(62026,62037) = 3847906962