What is the Least Common Multiple of 66700 and 66719?
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 66700 and 66719 is 4450157300.
LCM(66700,66719) = 4450157300
Least Common Multiple of 66700 and 66719 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66700 and 66719, than apply into the LCM equation.
GCF(66700,66719) = 1
LCM(66700,66719) = ( 66700 × 66719) / 1
LCM(66700,66719) = 4450157300 / 1
LCM(66700,66719) = 4450157300
Least Common Multiple (LCM) of 66700 and 66719 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66700 and 66719. First we will calculate the prime factors of 66700 and 66719.
Prime Factorization of 66700
Prime factors of 66700 are 2, 5, 23, 29. Prime factorization of 66700 in exponential form is:
66700 = 22 × 52 × 231 × 291
Prime Factorization of 66719
Prime factors of 66719 are 137, 487. Prime factorization of 66719 in exponential form is:
66719 = 1371 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 66700 and 66719.
LCM(66700,66719) = 22 × 52 × 231 × 291 × 1371 × 4871
LCM(66700,66719) = 4450157300
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