What is the Least Common Multiple of 57451 and 57468?
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 57451 and 57468 is 3301594068.
LCM(57451,57468) = 3301594068
Least Common Multiple of 57451 and 57468 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57451 and 57468, than apply into the LCM equation.
GCF(57451,57468) = 1
LCM(57451,57468) = ( 57451 × 57468) / 1
LCM(57451,57468) = 3301594068 / 1
LCM(57451,57468) = 3301594068
Least Common Multiple (LCM) of 57451 and 57468 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57451 and 57468. First we will calculate the prime factors of 57451 and 57468.
Prime Factorization of 57451
Prime factors of 57451 are 73, 787. Prime factorization of 57451 in exponential form is:
57451 = 731 × 7871
Prime Factorization of 57468
Prime factors of 57468 are 2, 3, 4789. Prime factorization of 57468 in exponential form is:
57468 = 22 × 31 × 47891
Now multiplying the highest exponent prime factors to calculate the LCM of 57451 and 57468.
LCM(57451,57468) = 731 × 7871 × 22 × 31 × 47891
LCM(57451,57468) = 3301594068
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