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What is the Least Common Multiple of 62775 and 62788?

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 62775 and 62788 is 3941516700.

LCM(62775,62788) = 3941516700

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Least Common Multiple of 62775 and 62788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62775 and 62788, than apply into the LCM equation.

GCF(62775,62788) = 1
LCM(62775,62788) = ( 62775 × 62788) / 1
LCM(62775,62788) = 3941516700 / 1
LCM(62775,62788) = 3941516700

Least Common Multiple (LCM) of 62775 and 62788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62775 and 62788. First we will calculate the prime factors of 62775 and 62788.

Prime Factorization of 62775

Prime factors of 62775 are 3, 5, 31. Prime factorization of 62775 in exponential form is:

62775 = 34 × 52 × 311

Prime Factorization of 62788

Prime factors of 62788 are 2, 11, 1427. Prime factorization of 62788 in exponential form is:

62788 = 22 × 111 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 62775 and 62788.

LCM(62775,62788) = 34 × 52 × 311 × 22 × 111 × 14271
LCM(62775,62788) = 3941516700