What is the Least Common Multiple of 77569 and 77573?
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 77569 and 77573 is 6017260037.
LCM(77569,77573) = 6017260037
Least Common Multiple of 77569 and 77573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77569 and 77573, than apply into the LCM equation.
GCF(77569,77573) = 1
LCM(77569,77573) = ( 77569 × 77573) / 1
LCM(77569,77573) = 6017260037 / 1
LCM(77569,77573) = 6017260037
Least Common Multiple (LCM) of 77569 and 77573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77569 and 77573. First we will calculate the prime factors of 77569 and 77573.
Prime Factorization of 77569
Prime factors of 77569 are 77569. Prime factorization of 77569 in exponential form is:
77569 = 775691
Prime Factorization of 77573
Prime factors of 77573 are 77573. Prime factorization of 77573 in exponential form is:
77573 = 775731
Now multiplying the highest exponent prime factors to calculate the LCM of 77569 and 77573.
LCM(77569,77573) = 775691 × 775731
LCM(77569,77573) = 6017260037
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