What is the Least Common Multiple of 77049 and 77065?
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 77049 and 77065 is 5937781185.
LCM(77049,77065) = 5937781185
Least Common Multiple of 77049 and 77065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77049 and 77065, than apply into the LCM equation.
GCF(77049,77065) = 1
LCM(77049,77065) = ( 77049 × 77065) / 1
LCM(77049,77065) = 5937781185 / 1
LCM(77049,77065) = 5937781185
Least Common Multiple (LCM) of 77049 and 77065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77049 and 77065. First we will calculate the prime factors of 77049 and 77065.
Prime Factorization of 77049
Prime factors of 77049 are 3, 7, 1223. Prime factorization of 77049 in exponential form is:
77049 = 32 × 71 × 12231
Prime Factorization of 77065
Prime factors of 77065 are 5, 15413. Prime factorization of 77065 in exponential form is:
77065 = 51 × 154131
Now multiplying the highest exponent prime factors to calculate the LCM of 77049 and 77065.
LCM(77049,77065) = 32 × 71 × 12231 × 51 × 154131
LCM(77049,77065) = 5937781185
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