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What is the Least Common Multiple of 46056 and 46074?

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 46056 and 46074 is 353664024.

LCM(46056,46074) = 353664024

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Least Common Multiple of 46056 and 46074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46056 and 46074, than apply into the LCM equation.

GCF(46056,46074) = 6
LCM(46056,46074) = ( 46056 × 46074) / 6
LCM(46056,46074) = 2121984144 / 6
LCM(46056,46074) = 353664024

Least Common Multiple (LCM) of 46056 and 46074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46056 and 46074. First we will calculate the prime factors of 46056 and 46074.

Prime Factorization of 46056

Prime factors of 46056 are 2, 3, 19, 101. Prime factorization of 46056 in exponential form is:

46056 = 23 × 31 × 191 × 1011

Prime Factorization of 46074

Prime factors of 46074 are 2, 3, 7, 1097. Prime factorization of 46074 in exponential form is:

46074 = 21 × 31 × 71 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 46056 and 46074.

LCM(46056,46074) = 23 × 31 × 191 × 1011 × 71 × 10971
LCM(46056,46074) = 353664024