What is the Least Common Multiple of 97462 and 97477?
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 97462 and 97477 is 9500303374.
LCM(97462,97477) = 9500303374
Least Common Multiple of 97462 and 97477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97462 and 97477, than apply into the LCM equation.
GCF(97462,97477) = 1
LCM(97462,97477) = ( 97462 × 97477) / 1
LCM(97462,97477) = 9500303374 / 1
LCM(97462,97477) = 9500303374
Least Common Multiple (LCM) of 97462 and 97477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97462 and 97477. First we will calculate the prime factors of 97462 and 97477.
Prime Factorization of 97462
Prime factors of 97462 are 2, 48731. Prime factorization of 97462 in exponential form is:
97462 = 21 × 487311
Prime Factorization of 97477
Prime factors of 97477 are 107, 911. Prime factorization of 97477 in exponential form is:
97477 = 1071 × 9111
Now multiplying the highest exponent prime factors to calculate the LCM of 97462 and 97477.
LCM(97462,97477) = 21 × 487311 × 1071 × 9111
LCM(97462,97477) = 9500303374
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