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What is the Least Common Multiple of 63455 and 63464?

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 63455 and 63464 is 4027108120.

LCM(63455,63464) = 4027108120

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Least Common Multiple of 63455 and 63464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63455 and 63464, than apply into the LCM equation.

GCF(63455,63464) = 1
LCM(63455,63464) = ( 63455 × 63464) / 1
LCM(63455,63464) = 4027108120 / 1
LCM(63455,63464) = 4027108120

Least Common Multiple (LCM) of 63455 and 63464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63455 and 63464. First we will calculate the prime factors of 63455 and 63464.

Prime Factorization of 63455

Prime factors of 63455 are 5, 7, 37. Prime factorization of 63455 in exponential form is:

63455 = 51 × 73 × 371

Prime Factorization of 63464

Prime factors of 63464 are 2, 7933. Prime factorization of 63464 in exponential form is:

63464 = 23 × 79331

Now multiplying the highest exponent prime factors to calculate the LCM of 63455 and 63464.

LCM(63455,63464) = 51 × 73 × 371 × 23 × 79331
LCM(63455,63464) = 4027108120