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What is the Least Common Multiple of 68370 and 68380?

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 68380 is 467514060.

LCM(68370,68380) = 467514060

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Least Common Multiple of 68370 and 68380 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 68380, than apply into the LCM equation.

GCF(68370,68380) = 10
LCM(68370,68380) = ( 68370 × 68380) / 10
LCM(68370,68380) = 4675140600 / 10
LCM(68370,68380) = 467514060

Least Common Multiple (LCM) of 68370 and 68380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68370 and 68380. First we will calculate the prime factors of 68370 and 68380.

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 68380

Prime factors of 68380 are 2, 5, 13, 263. Prime factorization of 68380 in exponential form is:

68380 = 22 × 51 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 68370 and 68380.

LCM(68370,68380) = 22 × 31 × 51 × 431 × 531 × 131 × 2631
LCM(68370,68380) = 467514060