What is the Least Common Multiple of 66214 and 66234?
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 66214 and 66234 is 2192809038.
LCM(66214,66234) = 2192809038
Least Common Multiple of 66214 and 66234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66214 and 66234, than apply into the LCM equation.
GCF(66214,66234) = 2
LCM(66214,66234) = ( 66214 × 66234) / 2
LCM(66214,66234) = 4385618076 / 2
LCM(66214,66234) = 2192809038
Least Common Multiple (LCM) of 66214 and 66234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66214 and 66234. First we will calculate the prime factors of 66214 and 66234.
Prime Factorization of 66214
Prime factors of 66214 are 2, 33107. Prime factorization of 66214 in exponential form is:
66214 = 21 × 331071
Prime Factorization of 66234
Prime factors of 66234 are 2, 3, 7, 19, 83. Prime factorization of 66234 in exponential form is:
66234 = 21 × 31 × 71 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 66214 and 66234.
LCM(66214,66234) = 21 × 331071 × 31 × 71 × 191 × 831
LCM(66214,66234) = 2192809038
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