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What is the Least Common Multiple of 67919 and 67938?

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 67919 and 67938 is 4614281022.

LCM(67919,67938) = 4614281022

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Least Common Multiple of 67919 and 67938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67919 and 67938, than apply into the LCM equation.

GCF(67919,67938) = 1
LCM(67919,67938) = ( 67919 × 67938) / 1
LCM(67919,67938) = 4614281022 / 1
LCM(67919,67938) = 4614281022

Least Common Multiple (LCM) of 67919 and 67938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67919 and 67938. First we will calculate the prime factors of 67919 and 67938.

Prime Factorization of 67919

Prime factors of 67919 are 23, 2953. Prime factorization of 67919 in exponential form is:

67919 = 231 × 29531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67919 and 67938.

LCM(67919,67938) = 231 × 29531 × 21 × 31 × 132 × 671
LCM(67919,67938) = 4614281022