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What is the Least Common Multiple of 62750 and 62761?

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 62750 and 62761 is 3938252750.

LCM(62750,62761) = 3938252750

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Least Common Multiple of 62750 and 62761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62750 and 62761, than apply into the LCM equation.

GCF(62750,62761) = 1
LCM(62750,62761) = ( 62750 × 62761) / 1
LCM(62750,62761) = 3938252750 / 1
LCM(62750,62761) = 3938252750

Least Common Multiple (LCM) of 62750 and 62761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62750 and 62761. First we will calculate the prime factors of 62750 and 62761.

Prime Factorization of 62750

Prime factors of 62750 are 2, 5, 251. Prime factorization of 62750 in exponential form is:

62750 = 21 × 53 × 2511

Prime Factorization of 62761

Prime factors of 62761 are 62761. Prime factorization of 62761 in exponential form is:

62761 = 627611

Now multiplying the highest exponent prime factors to calculate the LCM of 62750 and 62761.

LCM(62750,62761) = 21 × 53 × 2511 × 627611
LCM(62750,62761) = 3938252750