What is the Least Common Multiple of 66685 and 66702?
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 66702 is 4448022870.
LCM(66685,66702) = 4448022870
Least Common Multiple of 66685 and 66702 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 66702, than apply into the LCM equation.
GCF(66685,66702) = 1
LCM(66685,66702) = ( 66685 × 66702) / 1
LCM(66685,66702) = 4448022870 / 1
LCM(66685,66702) = 4448022870
Least Common Multiple (LCM) of 66685 and 66702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66685 and 66702. First we will calculate the prime factors of 66685 and 66702.
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 66702
Prime factors of 66702 are 2, 3, 11117. Prime factorization of 66702 in exponential form is:
66702 = 21 × 31 × 111171
Now multiplying the highest exponent prime factors to calculate the LCM of 66685 and 66702.
LCM(66685,66702) = 51 × 133371 × 21 × 31 × 111171
LCM(66685,66702) = 4448022870
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