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What is the Least Common Multiple of 88844 and 88860?

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 88844 and 88860 is 1973669460.

LCM(88844,88860) = 1973669460

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Least Common Multiple of 88844 and 88860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88844 and 88860, than apply into the LCM equation.

GCF(88844,88860) = 4
LCM(88844,88860) = ( 88844 × 88860) / 4
LCM(88844,88860) = 7894677840 / 4
LCM(88844,88860) = 1973669460

Least Common Multiple (LCM) of 88844 and 88860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88844 and 88860. First we will calculate the prime factors of 88844 and 88860.

Prime Factorization of 88844

Prime factors of 88844 are 2, 7, 19, 167. Prime factorization of 88844 in exponential form is:

88844 = 22 × 71 × 191 × 1671

Prime Factorization of 88860

Prime factors of 88860 are 2, 3, 5, 1481. Prime factorization of 88860 in exponential form is:

88860 = 22 × 31 × 51 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 88844 and 88860.

LCM(88844,88860) = 22 × 71 × 191 × 1671 × 31 × 51 × 14811
LCM(88844,88860) = 1973669460