What is the Least Common Multiple of 77207 and 77227?
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 77207 and 77227 is 5962464989.
LCM(77207,77227) = 5962464989
Least Common Multiple of 77207 and 77227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77207 and 77227, than apply into the LCM equation.
GCF(77207,77227) = 1
LCM(77207,77227) = ( 77207 × 77227) / 1
LCM(77207,77227) = 5962464989 / 1
LCM(77207,77227) = 5962464989
Least Common Multiple (LCM) of 77207 and 77227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77207 and 77227. First we will calculate the prime factors of 77207 and 77227.
Prime Factorization of 77207
Prime factors of 77207 are 13, 5939. Prime factorization of 77207 in exponential form is:
77207 = 131 × 59391
Prime Factorization of 77227
Prime factors of 77227 are 29, 2663. Prime factorization of 77227 in exponential form is:
77227 = 291 × 26631
Now multiplying the highest exponent prime factors to calculate the LCM of 77207 and 77227.
LCM(77207,77227) = 131 × 59391 × 291 × 26631
LCM(77207,77227) = 5962464989
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