What is the Least Common Multiple of 54070 and 54084?
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 54070 and 54084 is 1462160940.
LCM(54070,54084) = 1462160940
Least Common Multiple of 54070 and 54084 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54070 and 54084, than apply into the LCM equation.
GCF(54070,54084) = 2
LCM(54070,54084) = ( 54070 × 54084) / 2
LCM(54070,54084) = 2924321880 / 2
LCM(54070,54084) = 1462160940
Least Common Multiple (LCM) of 54070 and 54084 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54070 and 54084. First we will calculate the prime factors of 54070 and 54084.
Prime Factorization of 54070
Prime factors of 54070 are 2, 5, 5407. Prime factorization of 54070 in exponential form is:
54070 = 21 × 51 × 54071
Prime Factorization of 54084
Prime factors of 54084 are 2, 3, 4507. Prime factorization of 54084 in exponential form is:
54084 = 22 × 31 × 45071
Now multiplying the highest exponent prime factors to calculate the LCM of 54070 and 54084.
LCM(54070,54084) = 22 × 51 × 54071 × 31 × 45071
LCM(54070,54084) = 1462160940
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