What is the Least Common Multiple of 77023 and 77027?
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 77023 and 77027 is 5932850621.
LCM(77023,77027) = 5932850621
Least Common Multiple of 77023 and 77027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77023 and 77027, than apply into the LCM equation.
GCF(77023,77027) = 1
LCM(77023,77027) = ( 77023 × 77027) / 1
LCM(77023,77027) = 5932850621 / 1
LCM(77023,77027) = 5932850621
Least Common Multiple (LCM) of 77023 and 77027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77023 and 77027. First we will calculate the prime factors of 77023 and 77027.
Prime Factorization of 77023
Prime factors of 77023 are 77023. Prime factorization of 77023 in exponential form is:
77023 = 770231
Prime Factorization of 77027
Prime factors of 77027 are 17, 23, 197. Prime factorization of 77027 in exponential form is:
77027 = 171 × 231 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 77023 and 77027.
LCM(77023,77027) = 770231 × 171 × 231 × 1971
LCM(77023,77027) = 5932850621
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