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What is the Least Common Multiple of 65570 and 65579?

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 65570 and 65579 is 4300015030.

LCM(65570,65579) = 4300015030

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Least Common Multiple of 65570 and 65579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65570 and 65579, than apply into the LCM equation.

GCF(65570,65579) = 1
LCM(65570,65579) = ( 65570 × 65579) / 1
LCM(65570,65579) = 4300015030 / 1
LCM(65570,65579) = 4300015030

Least Common Multiple (LCM) of 65570 and 65579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65570 and 65579. First we will calculate the prime factors of 65570 and 65579.

Prime Factorization of 65570

Prime factors of 65570 are 2, 5, 79, 83. Prime factorization of 65570 in exponential form is:

65570 = 21 × 51 × 791 × 831

Prime Factorization of 65579

Prime factors of 65579 are 65579. Prime factorization of 65579 in exponential form is:

65579 = 655791

Now multiplying the highest exponent prime factors to calculate the LCM of 65570 and 65579.

LCM(65570,65579) = 21 × 51 × 791 × 831 × 655791
LCM(65570,65579) = 4300015030