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What is the Least Common Multiple of 68555 and 68570?

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 68555 and 68570 is 940163270.

LCM(68555,68570) = 940163270

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Least Common Multiple of 68555 and 68570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68555 and 68570, than apply into the LCM equation.

GCF(68555,68570) = 5
LCM(68555,68570) = ( 68555 × 68570) / 5
LCM(68555,68570) = 4700816350 / 5
LCM(68555,68570) = 940163270

Least Common Multiple (LCM) of 68555 and 68570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68555 and 68570. First we will calculate the prime factors of 68555 and 68570.

Prime Factorization of 68555

Prime factors of 68555 are 5, 13711. Prime factorization of 68555 in exponential form is:

68555 = 51 × 137111

Prime Factorization of 68570

Prime factors of 68570 are 2, 5, 6857. Prime factorization of 68570 in exponential form is:

68570 = 21 × 51 × 68571

Now multiplying the highest exponent prime factors to calculate the LCM of 68555 and 68570.

LCM(68555,68570) = 51 × 137111 × 21 × 68571
LCM(68555,68570) = 940163270