What is the Least Common Multiple of 45527 and 45547?
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 45527 and 45547 is 2073618269.
LCM(45527,45547) = 2073618269
Least Common Multiple of 45527 and 45547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45527 and 45547, than apply into the LCM equation.
GCF(45527,45547) = 1
LCM(45527,45547) = ( 45527 × 45547) / 1
LCM(45527,45547) = 2073618269 / 1
LCM(45527,45547) = 2073618269
Least Common Multiple (LCM) of 45527 and 45547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45527 and 45547. First we will calculate the prime factors of 45527 and 45547.
Prime Factorization of 45527
Prime factors of 45527 are 53, 859. Prime factorization of 45527 in exponential form is:
45527 = 531 × 8591
Prime Factorization of 45547
Prime factors of 45547 are 37, 1231. Prime factorization of 45547 in exponential form is:
45547 = 371 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 45527 and 45547.
LCM(45527,45547) = 531 × 8591 × 371 × 12311
LCM(45527,45547) = 2073618269
Related Least Common Multiples of 45527
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Related Least Common Multiples of 45547
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