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What is the Least Common Multiple of 65900 and 65907?

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 65900 and 65907 is 4343271300.

LCM(65900,65907) = 4343271300

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Least Common Multiple of 65900 and 65907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65900 and 65907, than apply into the LCM equation.

GCF(65900,65907) = 1
LCM(65900,65907) = ( 65900 × 65907) / 1
LCM(65900,65907) = 4343271300 / 1
LCM(65900,65907) = 4343271300

Least Common Multiple (LCM) of 65900 and 65907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65900 and 65907. First we will calculate the prime factors of 65900 and 65907.

Prime Factorization of 65900

Prime factors of 65900 are 2, 5, 659. Prime factorization of 65900 in exponential form is:

65900 = 22 × 52 × 6591

Prime Factorization of 65907

Prime factors of 65907 are 3, 2441. Prime factorization of 65907 in exponential form is:

65907 = 33 × 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 65900 and 65907.

LCM(65900,65907) = 22 × 52 × 6591 × 33 × 24411
LCM(65900,65907) = 4343271300