What is the Least Common Multiple of 67119 and 67126?
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 67119 and 67126 is 4505429994.
LCM(67119,67126) = 4505429994
Least Common Multiple of 67119 and 67126 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67119 and 67126, than apply into the LCM equation.
GCF(67119,67126) = 1
LCM(67119,67126) = ( 67119 × 67126) / 1
LCM(67119,67126) = 4505429994 / 1
LCM(67119,67126) = 4505429994
Least Common Multiple (LCM) of 67119 and 67126 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67119 and 67126. First we will calculate the prime factors of 67119 and 67126.
Prime Factorization of 67119
Prime factors of 67119 are 3, 13, 1721. Prime factorization of 67119 in exponential form is:
67119 = 31 × 131 × 17211
Prime Factorization of 67126
Prime factors of 67126 are 2, 33563. Prime factorization of 67126 in exponential form is:
67126 = 21 × 335631
Now multiplying the highest exponent prime factors to calculate the LCM of 67119 and 67126.
LCM(67119,67126) = 31 × 131 × 17211 × 21 × 335631
LCM(67119,67126) = 4505429994
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