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What is the Least Common Multiple of 54070 and 54087?

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 54087 is 2924484090.

LCM(54070,54087) = 2924484090

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Least Common Multiple of 54070 and 54087 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 54087, than apply into the LCM equation.

GCF(54070,54087) = 1
LCM(54070,54087) = ( 54070 × 54087) / 1
LCM(54070,54087) = 2924484090 / 1
LCM(54070,54087) = 2924484090

Least Common Multiple (LCM) of 54070 and 54087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54070 and 54087. First we will calculate the prime factors of 54070 and 54087.

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 54087

Prime factors of 54087 are 3, 11, 149. Prime factorization of 54087 in exponential form is:

54087 = 31 × 112 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 54070 and 54087.

LCM(54070,54087) = 21 × 51 × 54071 × 31 × 112 × 1491
LCM(54070,54087) = 2924484090