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What is the Least Common Multiple of 62791 and 62802?

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 62791 and 62802 is 3943400382.

LCM(62791,62802) = 3943400382

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Least Common Multiple of 62791 and 62802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62791 and 62802, than apply into the LCM equation.

GCF(62791,62802) = 1
LCM(62791,62802) = ( 62791 × 62802) / 1
LCM(62791,62802) = 3943400382 / 1
LCM(62791,62802) = 3943400382

Least Common Multiple (LCM) of 62791 and 62802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62791 and 62802. First we will calculate the prime factors of 62791 and 62802.

Prime Factorization of 62791

Prime factors of 62791 are 62791. Prime factorization of 62791 in exponential form is:

62791 = 627911

Prime Factorization of 62802

Prime factors of 62802 are 2, 3, 1163. Prime factorization of 62802 in exponential form is:

62802 = 21 × 33 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 62791 and 62802.

LCM(62791,62802) = 627911 × 21 × 33 × 11631
LCM(62791,62802) = 3943400382