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What is the Least Common Multiple of 62778 and 62798?

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 62778 and 62798 is 1971166422.

LCM(62778,62798) = 1971166422

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Least Common Multiple of 62778 and 62798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62778 and 62798, than apply into the LCM equation.

GCF(62778,62798) = 2
LCM(62778,62798) = ( 62778 × 62798) / 2
LCM(62778,62798) = 3942332844 / 2
LCM(62778,62798) = 1971166422

Least Common Multiple (LCM) of 62778 and 62798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62778 and 62798. First we will calculate the prime factors of 62778 and 62798.

Prime Factorization of 62778

Prime factors of 62778 are 2, 3, 10463. Prime factorization of 62778 in exponential form is:

62778 = 21 × 31 × 104631

Prime Factorization of 62798

Prime factors of 62798 are 2, 17, 1847. Prime factorization of 62798 in exponential form is:

62798 = 21 × 171 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 62778 and 62798.

LCM(62778,62798) = 21 × 31 × 104631 × 171 × 18471
LCM(62778,62798) = 1971166422