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What is the Least Common Multiple of 67758 and 67778?

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 67758 and 67778 is 2296250862.

LCM(67758,67778) = 2296250862

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Least Common Multiple of 67758 and 67778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67758 and 67778, than apply into the LCM equation.

GCF(67758,67778) = 2
LCM(67758,67778) = ( 67758 × 67778) / 2
LCM(67758,67778) = 4592501724 / 2
LCM(67758,67778) = 2296250862

Least Common Multiple (LCM) of 67758 and 67778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67758 and 67778. First we will calculate the prime factors of 67758 and 67778.

Prime Factorization of 67758

Prime factors of 67758 are 2, 3, 23, 491. Prime factorization of 67758 in exponential form is:

67758 = 21 × 31 × 231 × 4911

Prime Factorization of 67778

Prime factors of 67778 are 2, 33889. Prime factorization of 67778 in exponential form is:

67778 = 21 × 338891

Now multiplying the highest exponent prime factors to calculate the LCM of 67758 and 67778.

LCM(67758,67778) = 21 × 31 × 231 × 4911 × 338891
LCM(67758,67778) = 2296250862