What is the Least Common Multiple of 59767 and 59773?
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 59767 and 59773 is 3572452891.
LCM(59767,59773) = 3572452891
Least Common Multiple of 59767 and 59773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59767 and 59773, than apply into the LCM equation.
GCF(59767,59773) = 1
LCM(59767,59773) = ( 59767 × 59773) / 1
LCM(59767,59773) = 3572452891 / 1
LCM(59767,59773) = 3572452891
Least Common Multiple (LCM) of 59767 and 59773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59767 and 59773. First we will calculate the prime factors of 59767 and 59773.
Prime Factorization of 59767
Prime factors of 59767 are 59, 1013. Prime factorization of 59767 in exponential form is:
59767 = 591 × 10131
Prime Factorization of 59773
Prime factors of 59773 are 7, 8539. Prime factorization of 59773 in exponential form is:
59773 = 71 × 85391
Now multiplying the highest exponent prime factors to calculate the LCM of 59767 and 59773.
LCM(59767,59773) = 591 × 10131 × 71 × 85391
LCM(59767,59773) = 3572452891
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