What is the Least Common Multiple of 63252 and 63264?
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 63252 and 63264 is 333464544.
LCM(63252,63264) = 333464544
Least Common Multiple of 63252 and 63264 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63252 and 63264, than apply into the LCM equation.
GCF(63252,63264) = 12
LCM(63252,63264) = ( 63252 × 63264) / 12
LCM(63252,63264) = 4001574528 / 12
LCM(63252,63264) = 333464544
Least Common Multiple (LCM) of 63252 and 63264 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63252 and 63264. First we will calculate the prime factors of 63252 and 63264.
Prime Factorization of 63252
Prime factors of 63252 are 2, 3, 7, 251. Prime factorization of 63252 in exponential form is:
63252 = 22 × 32 × 71 × 2511
Prime Factorization of 63264
Prime factors of 63264 are 2, 3, 659. Prime factorization of 63264 in exponential form is:
63264 = 25 × 31 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 63252 and 63264.
LCM(63252,63264) = 25 × 32 × 71 × 2511 × 6591
LCM(63252,63264) = 333464544
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