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What is the Least Common Multiple of 46480 and 46485?

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 46480 and 46485 is 432124560.

LCM(46480,46485) = 432124560

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Least Common Multiple of 46480 and 46485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46480 and 46485, than apply into the LCM equation.

GCF(46480,46485) = 5
LCM(46480,46485) = ( 46480 × 46485) / 5
LCM(46480,46485) = 2160622800 / 5
LCM(46480,46485) = 432124560

Least Common Multiple (LCM) of 46480 and 46485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46480 and 46485. First we will calculate the prime factors of 46480 and 46485.

Prime Factorization of 46480

Prime factors of 46480 are 2, 5, 7, 83. Prime factorization of 46480 in exponential form is:

46480 = 24 × 51 × 71 × 831

Prime Factorization of 46485

Prime factors of 46485 are 3, 5, 1033. Prime factorization of 46485 in exponential form is:

46485 = 32 × 51 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 46480 and 46485.

LCM(46480,46485) = 24 × 51 × 71 × 831 × 32 × 10331
LCM(46480,46485) = 432124560