What is the Least Common Multiple of 66244 and 66263?
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 66244 and 66263 is 4389526172.
LCM(66244,66263) = 4389526172
Least Common Multiple of 66244 and 66263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66244 and 66263, than apply into the LCM equation.
GCF(66244,66263) = 1
LCM(66244,66263) = ( 66244 × 66263) / 1
LCM(66244,66263) = 4389526172 / 1
LCM(66244,66263) = 4389526172
Least Common Multiple (LCM) of 66244 and 66263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66244 and 66263. First we will calculate the prime factors of 66244 and 66263.
Prime Factorization of 66244
Prime factors of 66244 are 2, 16561. Prime factorization of 66244 in exponential form is:
66244 = 22 × 165611
Prime Factorization of 66263
Prime factors of 66263 are 23, 43, 67. Prime factorization of 66263 in exponential form is:
66263 = 231 × 431 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 66244 and 66263.
LCM(66244,66263) = 22 × 165611 × 231 × 431 × 671
LCM(66244,66263) = 4389526172
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