What is the Least Common Multiple of 97051 and 97057?
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 97051 and 97057 is 9419478907.
LCM(97051,97057) = 9419478907
Least Common Multiple of 97051 and 97057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97051 and 97057, than apply into the LCM equation.
GCF(97051,97057) = 1
LCM(97051,97057) = ( 97051 × 97057) / 1
LCM(97051,97057) = 9419478907 / 1
LCM(97051,97057) = 9419478907
Least Common Multiple (LCM) of 97051 and 97057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97051 and 97057. First we will calculate the prime factors of 97051 and 97057.
Prime Factorization of 97051
Prime factors of 97051 are 37, 43, 61. Prime factorization of 97051 in exponential form is:
97051 = 371 × 431 × 611
Prime Factorization of 97057
Prime factors of 97057 are 71, 1367. Prime factorization of 97057 in exponential form is:
97057 = 711 × 13671
Now multiplying the highest exponent prime factors to calculate the LCM of 97051 and 97057.
LCM(97051,97057) = 371 × 431 × 611 × 711 × 13671
LCM(97051,97057) = 9419478907
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