What is the Least Common Multiple of 97542 and 97560?
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 97542 and 97560 is 528677640.
LCM(97542,97560) = 528677640
Least Common Multiple of 97542 and 97560 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97542 and 97560, than apply into the LCM equation.
GCF(97542,97560) = 18
LCM(97542,97560) = ( 97542 × 97560) / 18
LCM(97542,97560) = 9516197520 / 18
LCM(97542,97560) = 528677640
Least Common Multiple (LCM) of 97542 and 97560 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97542 and 97560. First we will calculate the prime factors of 97542 and 97560.
Prime Factorization of 97542
Prime factors of 97542 are 2, 3, 5419. Prime factorization of 97542 in exponential form is:
97542 = 21 × 32 × 54191
Prime Factorization of 97560
Prime factors of 97560 are 2, 3, 5, 271. Prime factorization of 97560 in exponential form is:
97560 = 23 × 32 × 51 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 97542 and 97560.
LCM(97542,97560) = 23 × 32 × 54191 × 51 × 2711
LCM(97542,97560) = 528677640
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