What is the Least Common Multiple of 72763 and 72773?
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 72763 and 72773 is 5295181799.
LCM(72763,72773) = 5295181799
Least Common Multiple of 72763 and 72773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72763 and 72773, than apply into the LCM equation.
GCF(72763,72773) = 1
LCM(72763,72773) = ( 72763 × 72773) / 1
LCM(72763,72773) = 5295181799 / 1
LCM(72763,72773) = 5295181799
Least Common Multiple (LCM) of 72763 and 72773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72763 and 72773. First we will calculate the prime factors of 72763 and 72773.
Prime Factorization of 72763
Prime factors of 72763 are 72763. Prime factorization of 72763 in exponential form is:
72763 = 727631
Prime Factorization of 72773
Prime factors of 72773 are 61, 1193. Prime factorization of 72773 in exponential form is:
72773 = 611 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 72763 and 72773.
LCM(72763,72773) = 727631 × 611 × 11931
LCM(72763,72773) = 5295181799
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