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What is the Least Common Multiple of 63190 and 63203?

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 63190 and 63203 is 3993797570.

LCM(63190,63203) = 3993797570

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Least Common Multiple of 63190 and 63203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63190 and 63203, than apply into the LCM equation.

GCF(63190,63203) = 1
LCM(63190,63203) = ( 63190 × 63203) / 1
LCM(63190,63203) = 3993797570 / 1
LCM(63190,63203) = 3993797570

Least Common Multiple (LCM) of 63190 and 63203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63190 and 63203. First we will calculate the prime factors of 63190 and 63203.

Prime Factorization of 63190

Prime factors of 63190 are 2, 5, 71, 89. Prime factorization of 63190 in exponential form is:

63190 = 21 × 51 × 711 × 891

Prime Factorization of 63203

Prime factors of 63203 are 7, 9029. Prime factorization of 63203 in exponential form is:

63203 = 71 × 90291

Now multiplying the highest exponent prime factors to calculate the LCM of 63190 and 63203.

LCM(63190,63203) = 21 × 51 × 711 × 891 × 71 × 90291
LCM(63190,63203) = 3993797570