What is the Least Common Multiple of 97471 and 97490?
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 97471 and 97490 is 9502447790.
LCM(97471,97490) = 9502447790
Least Common Multiple of 97471 and 97490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97471 and 97490, than apply into the LCM equation.
GCF(97471,97490) = 1
LCM(97471,97490) = ( 97471 × 97490) / 1
LCM(97471,97490) = 9502447790 / 1
LCM(97471,97490) = 9502447790
Least Common Multiple (LCM) of 97471 and 97490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97471 and 97490. First we will calculate the prime factors of 97471 and 97490.
Prime Factorization of 97471
Prime factors of 97471 are 11, 8861. Prime factorization of 97471 in exponential form is:
97471 = 111 × 88611
Prime Factorization of 97490
Prime factors of 97490 are 2, 5, 9749. Prime factorization of 97490 in exponential form is:
97490 = 21 × 51 × 97491
Now multiplying the highest exponent prime factors to calculate the LCM of 97471 and 97490.
LCM(97471,97490) = 111 × 88611 × 21 × 51 × 97491
LCM(97471,97490) = 9502447790
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