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What is the Least Common Multiple of 68540 and 68548?

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 68540 and 68548 is 1174569980.

LCM(68540,68548) = 1174569980

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Least Common Multiple of 68540 and 68548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68540 and 68548, than apply into the LCM equation.

GCF(68540,68548) = 4
LCM(68540,68548) = ( 68540 × 68548) / 4
LCM(68540,68548) = 4698279920 / 4
LCM(68540,68548) = 1174569980

Least Common Multiple (LCM) of 68540 and 68548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68540 and 68548. First we will calculate the prime factors of 68540 and 68548.

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

Prime Factorization of 68548

Prime factors of 68548 are 2, 17137. Prime factorization of 68548 in exponential form is:

68548 = 22 × 171371

Now multiplying the highest exponent prime factors to calculate the LCM of 68540 and 68548.

LCM(68540,68548) = 22 × 51 × 231 × 1491 × 171371
LCM(68540,68548) = 1174569980