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What is the Least Common Multiple of 88954 and 88963?

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 88954 and 88963 is 7913614702.

LCM(88954,88963) = 7913614702

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Least Common Multiple of 88954 and 88963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88954 and 88963, than apply into the LCM equation.

GCF(88954,88963) = 1
LCM(88954,88963) = ( 88954 × 88963) / 1
LCM(88954,88963) = 7913614702 / 1
LCM(88954,88963) = 7913614702

Least Common Multiple (LCM) of 88954 and 88963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88954 and 88963. First we will calculate the prime factors of 88954 and 88963.

Prime Factorization of 88954

Prime factors of 88954 are 2, 79, 563. Prime factorization of 88954 in exponential form is:

88954 = 21 × 791 × 5631

Prime Factorization of 88963

Prime factors of 88963 are 7, 71, 179. Prime factorization of 88963 in exponential form is:

88963 = 71 × 711 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 88954 and 88963.

LCM(88954,88963) = 21 × 791 × 5631 × 71 × 711 × 1791
LCM(88954,88963) = 7913614702