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What is the Least Common Multiple of 16462 and 16480?

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 16462 and 16480 is 135646880.

LCM(16462,16480) = 135646880

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Least Common Multiple of 16462 and 16480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16462 and 16480, than apply into the LCM equation.

GCF(16462,16480) = 2
LCM(16462,16480) = ( 16462 × 16480) / 2
LCM(16462,16480) = 271293760 / 2
LCM(16462,16480) = 135646880

Least Common Multiple (LCM) of 16462 and 16480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16462 and 16480. First we will calculate the prime factors of 16462 and 16480.

Prime Factorization of 16462

Prime factors of 16462 are 2, 8231. Prime factorization of 16462 in exponential form is:

16462 = 21 × 82311

Prime Factorization of 16480

Prime factors of 16480 are 2, 5, 103. Prime factorization of 16480 in exponential form is:

16480 = 25 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 16462 and 16480.

LCM(16462,16480) = 25 × 82311 × 51 × 1031
LCM(16462,16480) = 135646880