What is the Least Common Multiple of 56442 and 56448?
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 56442 and 56448 is 531006336.
LCM(56442,56448) = 531006336
Least Common Multiple of 56442 and 56448 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56442 and 56448, than apply into the LCM equation.
GCF(56442,56448) = 6
LCM(56442,56448) = ( 56442 × 56448) / 6
LCM(56442,56448) = 3186038016 / 6
LCM(56442,56448) = 531006336
Least Common Multiple (LCM) of 56442 and 56448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56442 and 56448. First we will calculate the prime factors of 56442 and 56448.
Prime Factorization of 56442
Prime factors of 56442 are 2, 3, 23, 409. Prime factorization of 56442 in exponential form is:
56442 = 21 × 31 × 231 × 4091
Prime Factorization of 56448
Prime factors of 56448 are 2, 3, 7. Prime factorization of 56448 in exponential form is:
56448 = 27 × 32 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 56442 and 56448.
LCM(56442,56448) = 27 × 32 × 231 × 4091 × 72
LCM(56442,56448) = 531006336
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