What is the Least Common Multiple of 77057 and 77069?
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 77057 and 77069 is 5938705933.
LCM(77057,77069) = 5938705933
Least Common Multiple of 77057 and 77069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77057 and 77069, than apply into the LCM equation.
GCF(77057,77069) = 1
LCM(77057,77069) = ( 77057 × 77069) / 1
LCM(77057,77069) = 5938705933 / 1
LCM(77057,77069) = 5938705933
Least Common Multiple (LCM) of 77057 and 77069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77057 and 77069. First we will calculate the prime factors of 77057 and 77069.
Prime Factorization of 77057
Prime factors of 77057 are 251, 307. Prime factorization of 77057 in exponential form is:
77057 = 2511 × 3071
Prime Factorization of 77069
Prime factors of 77069 are 77069. Prime factorization of 77069 in exponential form is:
77069 = 770691
Now multiplying the highest exponent prime factors to calculate the LCM of 77057 and 77069.
LCM(77057,77069) = 2511 × 3071 × 770691
LCM(77057,77069) = 5938705933
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