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What is the Least Common Multiple of 46418 and 46435?

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 46418 and 46435 is 2155419830.

LCM(46418,46435) = 2155419830

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Least Common Multiple of 46418 and 46435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46418 and 46435, than apply into the LCM equation.

GCF(46418,46435) = 1
LCM(46418,46435) = ( 46418 × 46435) / 1
LCM(46418,46435) = 2155419830 / 1
LCM(46418,46435) = 2155419830

Least Common Multiple (LCM) of 46418 and 46435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46418 and 46435. First we will calculate the prime factors of 46418 and 46435.

Prime Factorization of 46418

Prime factors of 46418 are 2, 23209. Prime factorization of 46418 in exponential form is:

46418 = 21 × 232091

Prime Factorization of 46435

Prime factors of 46435 are 5, 37, 251. Prime factorization of 46435 in exponential form is:

46435 = 51 × 371 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 46418 and 46435.

LCM(46418,46435) = 21 × 232091 × 51 × 371 × 2511
LCM(46418,46435) = 2155419830