What is the Least Common Multiple of 63455 and 63468?
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 63468 is 4027361940.
LCM(63455,63468) = 4027361940
Least Common Multiple of 63455 and 63468 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 63468, than apply into the LCM equation.
GCF(63455,63468) = 1
LCM(63455,63468) = ( 63455 × 63468) / 1
LCM(63455,63468) = 4027361940 / 1
LCM(63455,63468) = 4027361940
Least Common Multiple (LCM) of 63455 and 63468 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63455 and 63468. First we will calculate the prime factors of 63455 and 63468.
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 63468
Prime factors of 63468 are 2, 3, 41, 43. Prime factorization of 63468 in exponential form is:
63468 = 22 × 32 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 63455 and 63468.
LCM(63455,63468) = 51 × 73 × 371 × 22 × 32 × 411 × 431
LCM(63455,63468) = 4027361940
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