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What is the Least Common Multiple of 96211 and 96230?

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 96211 and 96230 is 9258384530.

LCM(96211,96230) = 9258384530

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Least Common Multiple of 96211 and 96230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96211 and 96230, than apply into the LCM equation.

GCF(96211,96230) = 1
LCM(96211,96230) = ( 96211 × 96230) / 1
LCM(96211,96230) = 9258384530 / 1
LCM(96211,96230) = 9258384530

Least Common Multiple (LCM) of 96211 and 96230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96211 and 96230. First we will calculate the prime factors of 96211 and 96230.

Prime Factorization of 96211

Prime factors of 96211 are 96211. Prime factorization of 96211 in exponential form is:

96211 = 962111

Prime Factorization of 96230

Prime factors of 96230 are 2, 5, 9623. Prime factorization of 96230 in exponential form is:

96230 = 21 × 51 × 96231

Now multiplying the highest exponent prime factors to calculate the LCM of 96211 and 96230.

LCM(96211,96230) = 962111 × 21 × 51 × 96231
LCM(96211,96230) = 9258384530