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What is the Least Common Multiple of 60044 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 60044 and 60063 is 3606422772.

LCM(60044,60063) = 3606422772

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Least Common Multiple of 60044 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 60044 and 60063, than apply into the LCM equation.

GCF(60044,60063) = 1
LCM(60044,60063) = ( 60044 × 60063) / 1
LCM(60044,60063) = 3606422772 / 1
LCM(60044,60063) = 3606422772

Least Common Multiple (LCM) of 60044 and 60063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60044 and 60063. First we will calculate the prime factors of 60044 and 60063.

Prime Factorization of 60044

Prime factors of 60044 are 2, 17, 883. Prime factorization of 60044 in exponential form is:

60044 = 22 × 171 × 8831

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 60044 and 60063.

LCM(60044,60063) = 22 × 171 × 8831 × 31 × 200211
LCM(60044,60063) = 3606422772