What is the Least Common Multiple of 77861 and 77881?
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 77861 and 77881 is 6063892541.
LCM(77861,77881) = 6063892541
Least Common Multiple of 77861 and 77881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77861 and 77881, than apply into the LCM equation.
GCF(77861,77881) = 1
LCM(77861,77881) = ( 77861 × 77881) / 1
LCM(77861,77881) = 6063892541 / 1
LCM(77861,77881) = 6063892541
Least Common Multiple (LCM) of 77861 and 77881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77861 and 77881. First we will calculate the prime factors of 77861 and 77881.
Prime Factorization of 77861
Prime factors of 77861 are 7, 227. Prime factorization of 77861 in exponential form is:
77861 = 73 × 2271
Prime Factorization of 77881
Prime factors of 77881 are 19, 4099. Prime factorization of 77881 in exponential form is:
77881 = 191 × 40991
Now multiplying the highest exponent prime factors to calculate the LCM of 77861 and 77881.
LCM(77861,77881) = 73 × 2271 × 191 × 40991
LCM(77861,77881) = 6063892541
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