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What is the Least Common Multiple of 65446 and 65458?

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 65446 and 65458 is 2141982134.

LCM(65446,65458) = 2141982134

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Least Common Multiple of 65446 and 65458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65446 and 65458, than apply into the LCM equation.

GCF(65446,65458) = 2
LCM(65446,65458) = ( 65446 × 65458) / 2
LCM(65446,65458) = 4283964268 / 2
LCM(65446,65458) = 2141982134

Least Common Multiple (LCM) of 65446 and 65458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65446 and 65458. First we will calculate the prime factors of 65446 and 65458.

Prime Factorization of 65446

Prime factors of 65446 are 2, 43, 761. Prime factorization of 65446 in exponential form is:

65446 = 21 × 431 × 7611

Prime Factorization of 65458

Prime factors of 65458 are 2, 23, 1423. Prime factorization of 65458 in exponential form is:

65458 = 21 × 231 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 65446 and 65458.

LCM(65446,65458) = 21 × 431 × 7611 × 231 × 14231
LCM(65446,65458) = 2141982134