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What is the Least Common Multiple of 65030 and 65048?

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 65030 and 65048 is 2115035720.

LCM(65030,65048) = 2115035720

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Least Common Multiple of 65030 and 65048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65030 and 65048, than apply into the LCM equation.

GCF(65030,65048) = 2
LCM(65030,65048) = ( 65030 × 65048) / 2
LCM(65030,65048) = 4230071440 / 2
LCM(65030,65048) = 2115035720

Least Common Multiple (LCM) of 65030 and 65048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65030 and 65048. First we will calculate the prime factors of 65030 and 65048.

Prime Factorization of 65030

Prime factors of 65030 are 2, 5, 7, 929. Prime factorization of 65030 in exponential form is:

65030 = 21 × 51 × 71 × 9291

Prime Factorization of 65048

Prime factors of 65048 are 2, 47, 173. Prime factorization of 65048 in exponential form is:

65048 = 23 × 471 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 65030 and 65048.

LCM(65030,65048) = 23 × 51 × 71 × 9291 × 471 × 1731
LCM(65030,65048) = 2115035720