What is the Least Common Multiple of 53773 and 53787?
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 53773 and 53787 is 2892288351.
LCM(53773,53787) = 2892288351
Least Common Multiple of 53773 and 53787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53773 and 53787, than apply into the LCM equation.
GCF(53773,53787) = 1
LCM(53773,53787) = ( 53773 × 53787) / 1
LCM(53773,53787) = 2892288351 / 1
LCM(53773,53787) = 2892288351
Least Common Multiple (LCM) of 53773 and 53787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53773 and 53787. First we will calculate the prime factors of 53773 and 53787.
Prime Factorization of 53773
Prime factors of 53773 are 53773. Prime factorization of 53773 in exponential form is:
53773 = 537731
Prime Factorization of 53787
Prime factors of 53787 are 3, 17929. Prime factorization of 53787 in exponential form is:
53787 = 31 × 179291
Now multiplying the highest exponent prime factors to calculate the LCM of 53773 and 53787.
LCM(53773,53787) = 537731 × 31 × 179291
LCM(53773,53787) = 2892288351
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