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What is the Least Common Multiple of 67938 and 67944?

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 67938 and 67944 is 769329912.

LCM(67938,67944) = 769329912

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Least Common Multiple of 67938 and 67944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67938 and 67944, than apply into the LCM equation.

GCF(67938,67944) = 6
LCM(67938,67944) = ( 67938 × 67944) / 6
LCM(67938,67944) = 4615979472 / 6
LCM(67938,67944) = 769329912

Least Common Multiple (LCM) of 67938 and 67944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67938 and 67944. First we will calculate the prime factors of 67938 and 67944.

Prime Factorization of 67938

Prime factors of 67938 are 2, 3, 13, 67. Prime factorization of 67938 in exponential form is:

67938 = 21 × 31 × 132 × 671

Prime Factorization of 67944

Prime factors of 67944 are 2, 3, 19, 149. Prime factorization of 67944 in exponential form is:

67944 = 23 × 31 × 191 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 67938 and 67944.

LCM(67938,67944) = 23 × 31 × 132 × 671 × 191 × 1491
LCM(67938,67944) = 769329912