What is the Least Common Multiple of 96502 and 96521?
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 96502 and 96521 is 9314469542.
LCM(96502,96521) = 9314469542
Least Common Multiple of 96502 and 96521 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96502 and 96521, than apply into the LCM equation.
GCF(96502,96521) = 1
LCM(96502,96521) = ( 96502 × 96521) / 1
LCM(96502,96521) = 9314469542 / 1
LCM(96502,96521) = 9314469542
Least Common Multiple (LCM) of 96502 and 96521 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96502 and 96521. First we will calculate the prime factors of 96502 and 96521.
Prime Factorization of 96502
Prime factors of 96502 are 2, 7, 61, 113. Prime factorization of 96502 in exponential form is:
96502 = 21 × 71 × 611 × 1131
Prime Factorization of 96521
Prime factors of 96521 are 263, 367. Prime factorization of 96521 in exponential form is:
96521 = 2631 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 96502 and 96521.
LCM(96502,96521) = 21 × 71 × 611 × 1131 × 2631 × 3671
LCM(96502,96521) = 9314469542
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