What is the Least Common Multiple of 67666 and 67673?
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 67666 and 67673 is 4579161218.
LCM(67666,67673) = 4579161218
Least Common Multiple of 67666 and 67673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67666 and 67673, than apply into the LCM equation.
GCF(67666,67673) = 1
LCM(67666,67673) = ( 67666 × 67673) / 1
LCM(67666,67673) = 4579161218 / 1
LCM(67666,67673) = 4579161218
Least Common Multiple (LCM) of 67666 and 67673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67666 and 67673. First we will calculate the prime factors of 67666 and 67673.
Prime Factorization of 67666
Prime factors of 67666 are 2, 23, 1471. Prime factorization of 67666 in exponential form is:
67666 = 21 × 231 × 14711
Prime Factorization of 67673
Prime factors of 67673 are 31, 37, 59. Prime factorization of 67673 in exponential form is:
67673 = 311 × 371 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 67666 and 67673.
LCM(67666,67673) = 21 × 231 × 14711 × 311 × 371 × 591
LCM(67666,67673) = 4579161218
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