What is the Least Common Multiple of 66906 and 66926?
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 66906 and 66926 is 2238875478.
LCM(66906,66926) = 2238875478
Least Common Multiple of 66906 and 66926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66906 and 66926, than apply into the LCM equation.
GCF(66906,66926) = 2
LCM(66906,66926) = ( 66906 × 66926) / 2
LCM(66906,66926) = 4477750956 / 2
LCM(66906,66926) = 2238875478
Least Common Multiple (LCM) of 66906 and 66926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66906 and 66926. First we will calculate the prime factors of 66906 and 66926.
Prime Factorization of 66906
Prime factors of 66906 are 2, 3, 7, 59. Prime factorization of 66906 in exponential form is:
66906 = 21 × 34 × 71 × 591
Prime Factorization of 66926
Prime factors of 66926 are 2, 109, 307. Prime factorization of 66926 in exponential form is:
66926 = 21 × 1091 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 66906 and 66926.
LCM(66906,66926) = 21 × 34 × 71 × 591 × 1091 × 3071
LCM(66906,66926) = 2238875478
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