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What is the Least Common Multiple of 63033 and 63050?

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 63033 and 63050 is 3974230650.

LCM(63033,63050) = 3974230650

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Least Common Multiple of 63033 and 63050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63033 and 63050, than apply into the LCM equation.

GCF(63033,63050) = 1
LCM(63033,63050) = ( 63033 × 63050) / 1
LCM(63033,63050) = 3974230650 / 1
LCM(63033,63050) = 3974230650

Least Common Multiple (LCM) of 63033 and 63050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63033 and 63050. First we will calculate the prime factors of 63033 and 63050.

Prime Factorization of 63033

Prime factors of 63033 are 3, 21011. Prime factorization of 63033 in exponential form is:

63033 = 31 × 210111

Prime Factorization of 63050

Prime factors of 63050 are 2, 5, 13, 97. Prime factorization of 63050 in exponential form is:

63050 = 21 × 52 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 63033 and 63050.

LCM(63033,63050) = 31 × 210111 × 21 × 52 × 131 × 971
LCM(63033,63050) = 3974230650