What is the Least Common Multiple of 95557 and 95577?
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 95557 and 95577 is 9133051389.
LCM(95557,95577) = 9133051389
Least Common Multiple of 95557 and 95577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95557 and 95577, than apply into the LCM equation.
GCF(95557,95577) = 1
LCM(95557,95577) = ( 95557 × 95577) / 1
LCM(95557,95577) = 9133051389 / 1
LCM(95557,95577) = 9133051389
Least Common Multiple (LCM) of 95557 and 95577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95557 and 95577. First we will calculate the prime factors of 95557 and 95577.
Prime Factorization of 95557
Prime factors of 95557 are 7, 11, 17, 73. Prime factorization of 95557 in exponential form is:
95557 = 71 × 111 × 171 × 731
Prime Factorization of 95577
Prime factors of 95577 are 3, 31859. Prime factorization of 95577 in exponential form is:
95577 = 31 × 318591
Now multiplying the highest exponent prime factors to calculate the LCM of 95557 and 95577.
LCM(95557,95577) = 71 × 111 × 171 × 731 × 31 × 318591
LCM(95557,95577) = 9133051389
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