What is the Least Common Multiple of 66748 and 66756?
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 66748 and 66756 is 1113957372.
LCM(66748,66756) = 1113957372
Least Common Multiple of 66748 and 66756 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66748 and 66756, than apply into the LCM equation.
GCF(66748,66756) = 4
LCM(66748,66756) = ( 66748 × 66756) / 4
LCM(66748,66756) = 4455829488 / 4
LCM(66748,66756) = 1113957372
Least Common Multiple (LCM) of 66748 and 66756 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66748 and 66756. First we will calculate the prime factors of 66748 and 66756.
Prime Factorization of 66748
Prime factors of 66748 are 2, 11, 37, 41. Prime factorization of 66748 in exponential form is:
66748 = 22 × 111 × 371 × 411
Prime Factorization of 66756
Prime factors of 66756 are 2, 3, 5563. Prime factorization of 66756 in exponential form is:
66756 = 22 × 31 × 55631
Now multiplying the highest exponent prime factors to calculate the LCM of 66748 and 66756.
LCM(66748,66756) = 22 × 111 × 371 × 411 × 31 × 55631
LCM(66748,66756) = 1113957372
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