What is the Least Common Multiple of 66688 and 66707?
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 66688 and 66707 is 4448556416.
LCM(66688,66707) = 4448556416
Least Common Multiple of 66688 and 66707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66688 and 66707, than apply into the LCM equation.
GCF(66688,66707) = 1
LCM(66688,66707) = ( 66688 × 66707) / 1
LCM(66688,66707) = 4448556416 / 1
LCM(66688,66707) = 4448556416
Least Common Multiple (LCM) of 66688 and 66707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66688 and 66707. First we will calculate the prime factors of 66688 and 66707.
Prime Factorization of 66688
Prime factors of 66688 are 2, 521. Prime factorization of 66688 in exponential form is:
66688 = 27 × 5211
Prime Factorization of 66707
Prime factors of 66707 are 41, 1627. Prime factorization of 66707 in exponential form is:
66707 = 411 × 16271
Now multiplying the highest exponent prime factors to calculate the LCM of 66688 and 66707.
LCM(66688,66707) = 27 × 5211 × 411 × 16271
LCM(66688,66707) = 4448556416
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