What is the Least Common Multiple of 95507 and 95522?
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 95507 and 95522 is 9123019654.
LCM(95507,95522) = 9123019654
Least Common Multiple of 95507 and 95522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95507 and 95522, than apply into the LCM equation.
GCF(95507,95522) = 1
LCM(95507,95522) = ( 95507 × 95522) / 1
LCM(95507,95522) = 9123019654 / 1
LCM(95507,95522) = 9123019654
Least Common Multiple (LCM) of 95507 and 95522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95507 and 95522. First we will calculate the prime factors of 95507 and 95522.
Prime Factorization of 95507
Prime factors of 95507 are 95507. Prime factorization of 95507 in exponential form is:
95507 = 955071
Prime Factorization of 95522
Prime factors of 95522 are 2, 7, 6823. Prime factorization of 95522 in exponential form is:
95522 = 21 × 71 × 68231
Now multiplying the highest exponent prime factors to calculate the LCM of 95507 and 95522.
LCM(95507,95522) = 955071 × 21 × 71 × 68231
LCM(95507,95522) = 9123019654
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