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What is the Least Common Multiple of 68520 and 68527?

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 68520 and 68527 is 4695470040.

LCM(68520,68527) = 4695470040

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Least Common Multiple of 68520 and 68527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68520 and 68527, than apply into the LCM equation.

GCF(68520,68527) = 1
LCM(68520,68527) = ( 68520 × 68527) / 1
LCM(68520,68527) = 4695470040 / 1
LCM(68520,68527) = 4695470040

Least Common Multiple (LCM) of 68520 and 68527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68520 and 68527. First we will calculate the prime factors of 68520 and 68527.

Prime Factorization of 68520

Prime factors of 68520 are 2, 3, 5, 571. Prime factorization of 68520 in exponential form is:

68520 = 23 × 31 × 51 × 5711

Prime Factorization of 68527

Prime factors of 68527 are 17, 29, 139. Prime factorization of 68527 in exponential form is:

68527 = 171 × 291 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 68520 and 68527.

LCM(68520,68527) = 23 × 31 × 51 × 5711 × 171 × 291 × 1391
LCM(68520,68527) = 4695470040