What is the Least Common Multiple of 97546 and 97565?
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 97546 and 97565 is 500898710.
LCM(97546,97565) = 500898710
Least Common Multiple of 97546 and 97565 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97546 and 97565, than apply into the LCM equation.
GCF(97546,97565) = 19
LCM(97546,97565) = ( 97546 × 97565) / 19
LCM(97546,97565) = 9517075490 / 19
LCM(97546,97565) = 500898710
Least Common Multiple (LCM) of 97546 and 97565 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97546 and 97565. First we will calculate the prime factors of 97546 and 97565.
Prime Factorization of 97546
Prime factors of 97546 are 2, 17, 19, 151. Prime factorization of 97546 in exponential form is:
97546 = 21 × 171 × 191 × 1511
Prime Factorization of 97565
Prime factors of 97565 are 5, 13, 19, 79. Prime factorization of 97565 in exponential form is:
97565 = 51 × 131 × 191 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 97546 and 97565.
LCM(97546,97565) = 21 × 171 × 191 × 1511 × 51 × 131 × 791
LCM(97546,97565) = 500898710
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