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What is the Least Common Multiple of 63032 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 63032 and 63050 is 1987083800.

LCM(63032,63050) = 1987083800

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Least Common Multiple of 63032 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 63032 and 63050, than apply into the LCM equation.

GCF(63032,63050) = 2
LCM(63032,63050) = ( 63032 × 63050) / 2
LCM(63032,63050) = 3974167600 / 2
LCM(63032,63050) = 1987083800

Least Common Multiple (LCM) of 63032 and 63050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63032 and 63050. First we will calculate the prime factors of 63032 and 63050.

Prime Factorization of 63032

Prime factors of 63032 are 2, 7879. Prime factorization of 63032 in exponential form is:

63032 = 23 × 78791

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 63032 and 63050.

LCM(63032,63050) = 23 × 78791 × 52 × 131 × 971
LCM(63032,63050) = 1987083800