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What is the Least Common Multiple of 68530 and 68540?

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 68530 and 68540 is 469704620.

LCM(68530,68540) = 469704620

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Least Common Multiple of 68530 and 68540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68530 and 68540, than apply into the LCM equation.

GCF(68530,68540) = 10
LCM(68530,68540) = ( 68530 × 68540) / 10
LCM(68530,68540) = 4697046200 / 10
LCM(68530,68540) = 469704620

Least Common Multiple (LCM) of 68530 and 68540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68530 and 68540. First we will calculate the prime factors of 68530 and 68540.

Prime Factorization of 68530

Prime factors of 68530 are 2, 5, 7, 11, 89. Prime factorization of 68530 in exponential form is:

68530 = 21 × 51 × 71 × 111 × 891

Prime Factorization of 68540

Prime factors of 68540 are 2, 5, 23, 149. Prime factorization of 68540 in exponential form is:

68540 = 22 × 51 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 68530 and 68540.

LCM(68530,68540) = 22 × 51 × 71 × 111 × 891 × 231 × 1491
LCM(68530,68540) = 469704620