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What is the Least Common Multiple of 46119 and 46124?

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 46119 and 46124 is 2127192756.

LCM(46119,46124) = 2127192756

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Least Common Multiple of 46119 and 46124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46119 and 46124, than apply into the LCM equation.

GCF(46119,46124) = 1
LCM(46119,46124) = ( 46119 × 46124) / 1
LCM(46119,46124) = 2127192756 / 1
LCM(46119,46124) = 2127192756

Least Common Multiple (LCM) of 46119 and 46124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46119 and 46124. First we will calculate the prime factors of 46119 and 46124.

Prime Factorization of 46119

Prime factors of 46119 are 3, 15373. Prime factorization of 46119 in exponential form is:

46119 = 31 × 153731

Prime Factorization of 46124

Prime factors of 46124 are 2, 13, 887. Prime factorization of 46124 in exponential form is:

46124 = 22 × 131 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 46119 and 46124.

LCM(46119,46124) = 31 × 153731 × 22 × 131 × 8871
LCM(46119,46124) = 2127192756