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What is the Least Common Multiple of 63355 and 63370?

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 63355 and 63370 is 802961270.

LCM(63355,63370) = 802961270

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Least Common Multiple of 63355 and 63370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63355 and 63370, than apply into the LCM equation.

GCF(63355,63370) = 5
LCM(63355,63370) = ( 63355 × 63370) / 5
LCM(63355,63370) = 4014806350 / 5
LCM(63355,63370) = 802961270

Least Common Multiple (LCM) of 63355 and 63370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63355 and 63370. First we will calculate the prime factors of 63355 and 63370.

Prime Factorization of 63355

Prime factors of 63355 are 5, 12671. Prime factorization of 63355 in exponential form is:

63355 = 51 × 126711

Prime Factorization of 63370

Prime factors of 63370 are 2, 5, 6337. Prime factorization of 63370 in exponential form is:

63370 = 21 × 51 × 63371

Now multiplying the highest exponent prime factors to calculate the LCM of 63355 and 63370.

LCM(63355,63370) = 51 × 126711 × 21 × 63371
LCM(63355,63370) = 802961270