What is the Least Common Multiple of 63048 and 63054?
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 63048 and 63054 is 662571432.
LCM(63048,63054) = 662571432
Least Common Multiple of 63048 and 63054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63048 and 63054, than apply into the LCM equation.
GCF(63048,63054) = 6
LCM(63048,63054) = ( 63048 × 63054) / 6
LCM(63048,63054) = 3975428592 / 6
LCM(63048,63054) = 662571432
Least Common Multiple (LCM) of 63048 and 63054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63048 and 63054. First we will calculate the prime factors of 63048 and 63054.
Prime Factorization of 63048
Prime factors of 63048 are 2, 3, 37, 71. Prime factorization of 63048 in exponential form is:
63048 = 23 × 31 × 371 × 711
Prime Factorization of 63054
Prime factors of 63054 are 2, 3, 31, 113. Prime factorization of 63054 in exponential form is:
63054 = 21 × 32 × 311 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 63048 and 63054.
LCM(63048,63054) = 23 × 32 × 371 × 711 × 311 × 1131
LCM(63048,63054) = 662571432
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