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What is the Least Common Multiple of 60056 and 60063?

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 60056 and 60063 is 3607143528.

LCM(60056,60063) = 3607143528

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Least Common Multiple of 60056 and 60063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60056 and 60063, than apply into the LCM equation.

GCF(60056,60063) = 1
LCM(60056,60063) = ( 60056 × 60063) / 1
LCM(60056,60063) = 3607143528 / 1
LCM(60056,60063) = 3607143528

Least Common Multiple (LCM) of 60056 and 60063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60056 and 60063. First we will calculate the prime factors of 60056 and 60063.

Prime Factorization of 60056

Prime factors of 60056 are 2, 7507. Prime factorization of 60056 in exponential form is:

60056 = 23 × 75071

Prime Factorization of 60063

Prime factors of 60063 are 3, 20021. Prime factorization of 60063 in exponential form is:

60063 = 31 × 200211

Now multiplying the highest exponent prime factors to calculate the LCM of 60056 and 60063.

LCM(60056,60063) = 23 × 75071 × 31 × 200211
LCM(60056,60063) = 3607143528