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What is the Least Common Multiple of 88463 and 88475?

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 88463 and 88475 is 7826763925.

LCM(88463,88475) = 7826763925

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Least Common Multiple of 88463 and 88475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88463 and 88475, than apply into the LCM equation.

GCF(88463,88475) = 1
LCM(88463,88475) = ( 88463 × 88475) / 1
LCM(88463,88475) = 7826763925 / 1
LCM(88463,88475) = 7826763925

Least Common Multiple (LCM) of 88463 and 88475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88463 and 88475. First we will calculate the prime factors of 88463 and 88475.

Prime Factorization of 88463

Prime factors of 88463 are 88463. Prime factorization of 88463 in exponential form is:

88463 = 884631

Prime Factorization of 88475

Prime factors of 88475 are 5, 3539. Prime factorization of 88475 in exponential form is:

88475 = 52 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 88463 and 88475.

LCM(88463,88475) = 884631 × 52 × 35391
LCM(88463,88475) = 7826763925