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What is the Least Common Multiple of 62772 and 62783?

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 62772 and 62783 is 3941014476.

LCM(62772,62783) = 3941014476

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Least Common Multiple of 62772 and 62783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62772 and 62783, than apply into the LCM equation.

GCF(62772,62783) = 1
LCM(62772,62783) = ( 62772 × 62783) / 1
LCM(62772,62783) = 3941014476 / 1
LCM(62772,62783) = 3941014476

Least Common Multiple (LCM) of 62772 and 62783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62772 and 62783. First we will calculate the prime factors of 62772 and 62783.

Prime Factorization of 62772

Prime factors of 62772 are 2, 3, 5231. Prime factorization of 62772 in exponential form is:

62772 = 22 × 31 × 52311

Prime Factorization of 62783

Prime factors of 62783 are 7, 8969. Prime factorization of 62783 in exponential form is:

62783 = 71 × 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 62772 and 62783.

LCM(62772,62783) = 22 × 31 × 52311 × 71 × 89691
LCM(62772,62783) = 3941014476