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What is the Least Common Multiple of 68370 and 68390?

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 68370 and 68390 is 467582430.

LCM(68370,68390) = 467582430

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Least Common Multiple of 68370 and 68390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68370 and 68390, than apply into the LCM equation.

GCF(68370,68390) = 10
LCM(68370,68390) = ( 68370 × 68390) / 10
LCM(68370,68390) = 4675824300 / 10
LCM(68370,68390) = 467582430

Least Common Multiple (LCM) of 68370 and 68390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68370 and 68390. First we will calculate the prime factors of 68370 and 68390.

Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 21 × 31 × 51 × 431 × 531

Prime Factorization of 68390

Prime factors of 68390 are 2, 5, 7, 977. Prime factorization of 68390 in exponential form is:

68390 = 21 × 51 × 71 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 68370 and 68390.

LCM(68370,68390) = 21 × 31 × 51 × 431 × 531 × 71 × 9771
LCM(68370,68390) = 467582430