What is the Least Common Multiple of 53373 and 53379?
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 53373 and 53379 is 949665789.
LCM(53373,53379) = 949665789
Least Common Multiple of 53373 and 53379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53373 and 53379, than apply into the LCM equation.
GCF(53373,53379) = 3
LCM(53373,53379) = ( 53373 × 53379) / 3
LCM(53373,53379) = 2848997367 / 3
LCM(53373,53379) = 949665789
Least Common Multiple (LCM) of 53373 and 53379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53373 and 53379. First we will calculate the prime factors of 53373 and 53379.
Prime Factorization of 53373
Prime factors of 53373 are 3, 17791. Prime factorization of 53373 in exponential form is:
53373 = 31 × 177911
Prime Factorization of 53379
Prime factors of 53379 are 3, 659. Prime factorization of 53379 in exponential form is:
53379 = 34 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 53373 and 53379.
LCM(53373,53379) = 34 × 177911 × 6591
LCM(53373,53379) = 949665789
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Related Least Common Multiples of 53379
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