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What is the Least Common Multiple of 5953 and 5964?

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 5953 and 5964 is 35503692.

LCM(5953,5964) = 35503692

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Least Common Multiple of 5953 and 5964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5953 and 5964, than apply into the LCM equation.

GCF(5953,5964) = 1
LCM(5953,5964) = ( 5953 × 5964) / 1
LCM(5953,5964) = 35503692 / 1
LCM(5953,5964) = 35503692

Least Common Multiple (LCM) of 5953 and 5964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5953 and 5964. First we will calculate the prime factors of 5953 and 5964.

Prime Factorization of 5953

Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:

5953 = 59531

Prime Factorization of 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 22 × 31 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5964.

LCM(5953,5964) = 59531 × 22 × 31 × 71 × 711
LCM(5953,5964) = 35503692