What is the Least Common Multiple of 66970 and 66976?
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 66970 and 66976 is 2242691360.
LCM(66970,66976) = 2242691360
Least Common Multiple of 66970 and 66976 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66970 and 66976, than apply into the LCM equation.
GCF(66970,66976) = 2
LCM(66970,66976) = ( 66970 × 66976) / 2
LCM(66970,66976) = 4485382720 / 2
LCM(66970,66976) = 2242691360
Least Common Multiple (LCM) of 66970 and 66976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66970 and 66976. First we will calculate the prime factors of 66970 and 66976.
Prime Factorization of 66970
Prime factors of 66970 are 2, 5, 37, 181. Prime factorization of 66970 in exponential form is:
66970 = 21 × 51 × 371 × 1811
Prime Factorization of 66976
Prime factors of 66976 are 2, 7, 13, 23. Prime factorization of 66976 in exponential form is:
66976 = 25 × 71 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 66970 and 66976.
LCM(66970,66976) = 25 × 51 × 371 × 1811 × 71 × 131 × 231
LCM(66970,66976) = 2242691360
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