What is the Least Common Multiple of 66685 and 66699?
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 66685 and 66699 is 4447822815.
LCM(66685,66699) = 4447822815
Least Common Multiple of 66685 and 66699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66685 and 66699, than apply into the LCM equation.
GCF(66685,66699) = 1
LCM(66685,66699) = ( 66685 × 66699) / 1
LCM(66685,66699) = 4447822815 / 1
LCM(66685,66699) = 4447822815
Least Common Multiple (LCM) of 66685 and 66699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66685 and 66699. First we will calculate the prime factors of 66685 and 66699.
Prime Factorization of 66685
Prime factors of 66685 are 5, 13337. Prime factorization of 66685 in exponential form is:
66685 = 51 × 133371
Prime Factorization of 66699
Prime factors of 66699 are 3, 7411. Prime factorization of 66699 in exponential form is:
66699 = 32 × 74111
Now multiplying the highest exponent prime factors to calculate the LCM of 66685 and 66699.
LCM(66685,66699) = 51 × 133371 × 32 × 74111
LCM(66685,66699) = 4447822815
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