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What is the Least Common Multiple of 62276 and 62290?

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 62276 and 62290 is 1939586020.

LCM(62276,62290) = 1939586020

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Least Common Multiple of 62276 and 62290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62276 and 62290, than apply into the LCM equation.

GCF(62276,62290) = 2
LCM(62276,62290) = ( 62276 × 62290) / 2
LCM(62276,62290) = 3879172040 / 2
LCM(62276,62290) = 1939586020

Least Common Multiple (LCM) of 62276 and 62290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62276 and 62290. First we will calculate the prime factors of 62276 and 62290.

Prime Factorization of 62276

Prime factors of 62276 are 2, 15569. Prime factorization of 62276 in exponential form is:

62276 = 22 × 155691

Prime Factorization of 62290

Prime factors of 62290 are 2, 5, 6229. Prime factorization of 62290 in exponential form is:

62290 = 21 × 51 × 62291

Now multiplying the highest exponent prime factors to calculate the LCM of 62276 and 62290.

LCM(62276,62290) = 22 × 155691 × 51 × 62291
LCM(62276,62290) = 1939586020