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What is the Least Common Multiple of 67370 and 67378?

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 67370 and 67378 is 2269627930.

LCM(67370,67378) = 2269627930

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Least Common Multiple of 67370 and 67378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67370 and 67378, than apply into the LCM equation.

GCF(67370,67378) = 2
LCM(67370,67378) = ( 67370 × 67378) / 2
LCM(67370,67378) = 4539255860 / 2
LCM(67370,67378) = 2269627930

Least Common Multiple (LCM) of 67370 and 67378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67370 and 67378. First we will calculate the prime factors of 67370 and 67378.

Prime Factorization of 67370

Prime factors of 67370 are 2, 5, 6737. Prime factorization of 67370 in exponential form is:

67370 = 21 × 51 × 67371

Prime Factorization of 67378

Prime factors of 67378 are 2, 59, 571. Prime factorization of 67378 in exponential form is:

67378 = 21 × 591 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 67370 and 67378.

LCM(67370,67378) = 21 × 51 × 67371 × 591 × 5711
LCM(67370,67378) = 2269627930