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What is the Least Common Multiple of 65042 and 65050?

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 65042 and 65050 is 2115491050.

LCM(65042,65050) = 2115491050

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Least Common Multiple of 65042 and 65050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65042 and 65050, than apply into the LCM equation.

GCF(65042,65050) = 2
LCM(65042,65050) = ( 65042 × 65050) / 2
LCM(65042,65050) = 4230982100 / 2
LCM(65042,65050) = 2115491050

Least Common Multiple (LCM) of 65042 and 65050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65042 and 65050. First we will calculate the prime factors of 65042 and 65050.

Prime Factorization of 65042

Prime factors of 65042 are 2, 17, 1913. Prime factorization of 65042 in exponential form is:

65042 = 21 × 171 × 19131

Prime Factorization of 65050

Prime factors of 65050 are 2, 5, 1301. Prime factorization of 65050 in exponential form is:

65050 = 21 × 52 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 65042 and 65050.

LCM(65042,65050) = 21 × 171 × 19131 × 52 × 13011
LCM(65042,65050) = 2115491050