What is the Least Common Multiple of 95528 and 95548?
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 95528 and 95548 is 2281877336.
LCM(95528,95548) = 2281877336
Least Common Multiple of 95528 and 95548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95528 and 95548, than apply into the LCM equation.
GCF(95528,95548) = 4
LCM(95528,95548) = ( 95528 × 95548) / 4
LCM(95528,95548) = 9127509344 / 4
LCM(95528,95548) = 2281877336
Least Common Multiple (LCM) of 95528 and 95548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95528 and 95548. First we will calculate the prime factors of 95528 and 95548.
Prime Factorization of 95528
Prime factors of 95528 are 2, 11941. Prime factorization of 95528 in exponential form is:
95528 = 23 × 119411
Prime Factorization of 95548
Prime factors of 95548 are 2, 23887. Prime factorization of 95548 in exponential form is:
95548 = 22 × 238871
Now multiplying the highest exponent prime factors to calculate the LCM of 95528 and 95548.
LCM(95528,95548) = 23 × 119411 × 238871
LCM(95528,95548) = 2281877336
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