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What is the Least Common Multiple of 52985 and 53002?

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 52985 and 53002 is 2808310970.

LCM(52985,53002) = 2808310970

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Least Common Multiple of 52985 and 53002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52985 and 53002, than apply into the LCM equation.

GCF(52985,53002) = 1
LCM(52985,53002) = ( 52985 × 53002) / 1
LCM(52985,53002) = 2808310970 / 1
LCM(52985,53002) = 2808310970

Least Common Multiple (LCM) of 52985 and 53002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52985 and 53002. First we will calculate the prime factors of 52985 and 53002.

Prime Factorization of 52985

Prime factors of 52985 are 5, 10597. Prime factorization of 52985 in exponential form is:

52985 = 51 × 105971

Prime Factorization of 53002

Prime factors of 53002 are 2, 26501. Prime factorization of 53002 in exponential form is:

53002 = 21 × 265011

Now multiplying the highest exponent prime factors to calculate the LCM of 52985 and 53002.

LCM(52985,53002) = 51 × 105971 × 21 × 265011
LCM(52985,53002) = 2808310970