What is the Least Common Multiple of 55722 and 55728?
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 55722 and 55728 is 517545936.
LCM(55722,55728) = 517545936
Least Common Multiple of 55722 and 55728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55722 and 55728, than apply into the LCM equation.
GCF(55722,55728) = 6
LCM(55722,55728) = ( 55722 × 55728) / 6
LCM(55722,55728) = 3105275616 / 6
LCM(55722,55728) = 517545936
Least Common Multiple (LCM) of 55722 and 55728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55722 and 55728. First we will calculate the prime factors of 55722 and 55728.
Prime Factorization of 55722
Prime factors of 55722 are 2, 3, 37, 251. Prime factorization of 55722 in exponential form is:
55722 = 21 × 31 × 371 × 2511
Prime Factorization of 55728
Prime factors of 55728 are 2, 3, 43. Prime factorization of 55728 in exponential form is:
55728 = 24 × 34 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 55722 and 55728.
LCM(55722,55728) = 24 × 34 × 371 × 2511 × 431
LCM(55722,55728) = 517545936
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Related Least Common Multiples of 55728
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