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What is the Least Common Multiple of 88953 and 88967?

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 88953 and 88967 is 7913881551.

LCM(88953,88967) = 7913881551

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Least Common Multiple of 88953 and 88967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88953 and 88967, than apply into the LCM equation.

GCF(88953,88967) = 1
LCM(88953,88967) = ( 88953 × 88967) / 1
LCM(88953,88967) = 7913881551 / 1
LCM(88953,88967) = 7913881551

Least Common Multiple (LCM) of 88953 and 88967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88953 and 88967. First we will calculate the prime factors of 88953 and 88967.

Prime Factorization of 88953

Prime factors of 88953 are 3, 149, 199. Prime factorization of 88953 in exponential form is:

88953 = 31 × 1491 × 1991

Prime Factorization of 88967

Prime factors of 88967 are 43, 2069. Prime factorization of 88967 in exponential form is:

88967 = 431 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 88953 and 88967.

LCM(88953,88967) = 31 × 1491 × 1991 × 431 × 20691
LCM(88953,88967) = 7913881551