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What is the Least Common Multiple of 88922 and 88930?

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 88922 and 88930 is 3953916730.

LCM(88922,88930) = 3953916730

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Least Common Multiple of 88922 and 88930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88922 and 88930, than apply into the LCM equation.

GCF(88922,88930) = 2
LCM(88922,88930) = ( 88922 × 88930) / 2
LCM(88922,88930) = 7907833460 / 2
LCM(88922,88930) = 3953916730

Least Common Multiple (LCM) of 88922 and 88930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88922 and 88930. First we will calculate the prime factors of 88922 and 88930.

Prime Factorization of 88922

Prime factors of 88922 are 2, 173, 257. Prime factorization of 88922 in exponential form is:

88922 = 21 × 1731 × 2571

Prime Factorization of 88930

Prime factors of 88930 are 2, 5, 8893. Prime factorization of 88930 in exponential form is:

88930 = 21 × 51 × 88931

Now multiplying the highest exponent prime factors to calculate the LCM of 88922 and 88930.

LCM(88922,88930) = 21 × 1731 × 2571 × 51 × 88931
LCM(88922,88930) = 3953916730