What is the Least Common Multiple of 99562 and 99573?
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 99562 and 99573 is 9913687026.
LCM(99562,99573) = 9913687026
Least Common Multiple of 99562 and 99573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99562 and 99573, than apply into the LCM equation.
GCF(99562,99573) = 1
LCM(99562,99573) = ( 99562 × 99573) / 1
LCM(99562,99573) = 9913687026 / 1
LCM(99562,99573) = 9913687026
Least Common Multiple (LCM) of 99562 and 99573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99562 and 99573. First we will calculate the prime factors of 99562 and 99573.
Prime Factorization of 99562
Prime factors of 99562 are 2, 67, 743. Prime factorization of 99562 in exponential form is:
99562 = 21 × 671 × 7431
Prime Factorization of 99573
Prime factors of 99573 are 3, 33191. Prime factorization of 99573 in exponential form is:
99573 = 31 × 331911
Now multiplying the highest exponent prime factors to calculate the LCM of 99562 and 99573.
LCM(99562,99573) = 21 × 671 × 7431 × 31 × 331911
LCM(99562,99573) = 9913687026
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