What is the Least Common Multiple of 97642 and 97653?
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 97642 and 97653 is 9535034226.
LCM(97642,97653) = 9535034226
Least Common Multiple of 97642 and 97653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97642 and 97653, than apply into the LCM equation.
GCF(97642,97653) = 1
LCM(97642,97653) = ( 97642 × 97653) / 1
LCM(97642,97653) = 9535034226 / 1
LCM(97642,97653) = 9535034226
Least Common Multiple (LCM) of 97642 and 97653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97642 and 97653. First we will calculate the prime factors of 97642 and 97653.
Prime Factorization of 97642
Prime factors of 97642 are 2, 48821. Prime factorization of 97642 in exponential form is:
97642 = 21 × 488211
Prime Factorization of 97653
Prime factors of 97653 are 3, 43, 757. Prime factorization of 97653 in exponential form is:
97653 = 31 × 431 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 97642 and 97653.
LCM(97642,97653) = 21 × 488211 × 31 × 431 × 7571
LCM(97642,97653) = 9535034226
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