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What is the Least Common Multiple of 69113 and 69128?

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 69113 and 69128 is 4777643464.

LCM(69113,69128) = 4777643464

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Least Common Multiple of 69113 and 69128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69113 and 69128, than apply into the LCM equation.

GCF(69113,69128) = 1
LCM(69113,69128) = ( 69113 × 69128) / 1
LCM(69113,69128) = 4777643464 / 1
LCM(69113,69128) = 4777643464

Least Common Multiple (LCM) of 69113 and 69128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69113 and 69128. First we will calculate the prime factors of 69113 and 69128.

Prime Factorization of 69113

Prime factors of 69113 are 11, 61, 103. Prime factorization of 69113 in exponential form is:

69113 = 111 × 611 × 1031

Prime Factorization of 69128

Prime factors of 69128 are 2, 8641. Prime factorization of 69128 in exponential form is:

69128 = 23 × 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 69113 and 69128.

LCM(69113,69128) = 111 × 611 × 1031 × 23 × 86411
LCM(69113,69128) = 4777643464