What is the Least Common Multiple of 97526 and 97541?
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 97526 and 97541 is 9512783566.
LCM(97526,97541) = 9512783566
Least Common Multiple of 97526 and 97541 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97526 and 97541, than apply into the LCM equation.
GCF(97526,97541) = 1
LCM(97526,97541) = ( 97526 × 97541) / 1
LCM(97526,97541) = 9512783566 / 1
LCM(97526,97541) = 9512783566
Least Common Multiple (LCM) of 97526 and 97541 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97526 and 97541. First we will calculate the prime factors of 97526 and 97541.
Prime Factorization of 97526
Prime factors of 97526 are 2, 11, 13, 31. Prime factorization of 97526 in exponential form is:
97526 = 21 × 112 × 131 × 311
Prime Factorization of 97541
Prime factors of 97541 are 103, 947. Prime factorization of 97541 in exponential form is:
97541 = 1031 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 97526 and 97541.
LCM(97526,97541) = 21 × 112 × 131 × 311 × 1031 × 9471
LCM(97526,97541) = 9512783566
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