What is the Least Common Multiple of 73525 and 73538?
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 73525 and 73538 is 5406881450.
LCM(73525,73538) = 5406881450
Least Common Multiple of 73525 and 73538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73525 and 73538, than apply into the LCM equation.
GCF(73525,73538) = 1
LCM(73525,73538) = ( 73525 × 73538) / 1
LCM(73525,73538) = 5406881450 / 1
LCM(73525,73538) = 5406881450
Least Common Multiple (LCM) of 73525 and 73538 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73525 and 73538. First we will calculate the prime factors of 73525 and 73538.
Prime Factorization of 73525
Prime factors of 73525 are 5, 17, 173. Prime factorization of 73525 in exponential form is:
73525 = 52 × 171 × 1731
Prime Factorization of 73538
Prime factors of 73538 are 2, 83, 443. Prime factorization of 73538 in exponential form is:
73538 = 21 × 831 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 73525 and 73538.
LCM(73525,73538) = 52 × 171 × 1731 × 21 × 831 × 4431
LCM(73525,73538) = 5406881450
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