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What is the Least Common Multiple of 46620 and 46625?

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 46620 and 46625 is 434731500.

LCM(46620,46625) = 434731500

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Least Common Multiple of 46620 and 46625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46620 and 46625, than apply into the LCM equation.

GCF(46620,46625) = 5
LCM(46620,46625) = ( 46620 × 46625) / 5
LCM(46620,46625) = 2173657500 / 5
LCM(46620,46625) = 434731500

Least Common Multiple (LCM) of 46620 and 46625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46620 and 46625. First we will calculate the prime factors of 46620 and 46625.

Prime Factorization of 46620

Prime factors of 46620 are 2, 3, 5, 7, 37. Prime factorization of 46620 in exponential form is:

46620 = 22 × 32 × 51 × 71 × 371

Prime Factorization of 46625

Prime factors of 46625 are 5, 373. Prime factorization of 46625 in exponential form is:

46625 = 53 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 46620 and 46625.

LCM(46620,46625) = 22 × 32 × 53 × 71 × 371 × 3731
LCM(46620,46625) = 434731500