What is the Least Common Multiple of 97474 and 97486?
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 97474 and 97486 is 4751175182.
LCM(97474,97486) = 4751175182
Least Common Multiple of 97474 and 97486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97474 and 97486, than apply into the LCM equation.
GCF(97474,97486) = 2
LCM(97474,97486) = ( 97474 × 97486) / 2
LCM(97474,97486) = 9502350364 / 2
LCM(97474,97486) = 4751175182
Least Common Multiple (LCM) of 97474 and 97486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97474 and 97486. First we will calculate the prime factors of 97474 and 97486.
Prime Factorization of 97474
Prime factors of 97474 are 2, 13, 23, 163. Prime factorization of 97474 in exponential form is:
97474 = 21 × 131 × 231 × 1631
Prime Factorization of 97486
Prime factors of 97486 are 2, 79, 617. Prime factorization of 97486 in exponential form is:
97486 = 21 × 791 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 97474 and 97486.
LCM(97474,97486) = 21 × 131 × 231 × 1631 × 791 × 6171
LCM(97474,97486) = 4751175182
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