What is the Least Common Multiple of 66424 and 66436?
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 66424 and 66436 is 1103236216.
LCM(66424,66436) = 1103236216
Least Common Multiple of 66424 and 66436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66424 and 66436, than apply into the LCM equation.
GCF(66424,66436) = 4
LCM(66424,66436) = ( 66424 × 66436) / 4
LCM(66424,66436) = 4412944864 / 4
LCM(66424,66436) = 1103236216
Least Common Multiple (LCM) of 66424 and 66436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66424 and 66436. First we will calculate the prime factors of 66424 and 66436.
Prime Factorization of 66424
Prime factors of 66424 are 2, 19, 23. Prime factorization of 66424 in exponential form is:
66424 = 23 × 192 × 231
Prime Factorization of 66436
Prime factors of 66436 are 2, 17, 977. Prime factorization of 66436 in exponential form is:
66436 = 22 × 171 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 66424 and 66436.
LCM(66424,66436) = 23 × 192 × 231 × 171 × 9771
LCM(66424,66436) = 1103236216
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