What is the Least Common Multiple of 42532 and 42547?
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 42532 and 42547 is 1809609004.
LCM(42532,42547) = 1809609004
Least Common Multiple of 42532 and 42547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42532 and 42547, than apply into the LCM equation.
GCF(42532,42547) = 1
LCM(42532,42547) = ( 42532 × 42547) / 1
LCM(42532,42547) = 1809609004 / 1
LCM(42532,42547) = 1809609004
Least Common Multiple (LCM) of 42532 and 42547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42532 and 42547. First we will calculate the prime factors of 42532 and 42547.
Prime Factorization of 42532
Prime factors of 42532 are 2, 7, 31. Prime factorization of 42532 in exponential form is:
42532 = 22 × 73 × 311
Prime Factorization of 42547
Prime factors of 42547 are 157, 271. Prime factorization of 42547 in exponential form is:
42547 = 1571 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 42532 and 42547.
LCM(42532,42547) = 22 × 73 × 311 × 1571 × 2711
LCM(42532,42547) = 1809609004
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