What is the Least Common Multiple of 97483 and 97502?
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 97483 and 97502 is 9504787466.
LCM(97483,97502) = 9504787466
Least Common Multiple of 97483 and 97502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97483 and 97502, than apply into the LCM equation.
GCF(97483,97502) = 1
LCM(97483,97502) = ( 97483 × 97502) / 1
LCM(97483,97502) = 9504787466 / 1
LCM(97483,97502) = 9504787466
Least Common Multiple (LCM) of 97483 and 97502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97483 and 97502. First we will calculate the prime factors of 97483 and 97502.
Prime Factorization of 97483
Prime factors of 97483 are 71, 1373. Prime factorization of 97483 in exponential form is:
97483 = 711 × 13731
Prime Factorization of 97502
Prime factors of 97502 are 2, 48751. Prime factorization of 97502 in exponential form is:
97502 = 21 × 487511
Now multiplying the highest exponent prime factors to calculate the LCM of 97483 and 97502.
LCM(97483,97502) = 711 × 13731 × 21 × 487511
LCM(97483,97502) = 9504787466
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