What is the Least Common Multiple of 66427 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 66427 and 66436 is 4413144172.
LCM(66427,66436) = 4413144172
Least Common Multiple of 66427 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 66427 and 66436, than apply into the LCM equation.
GCF(66427,66436) = 1
LCM(66427,66436) = ( 66427 × 66436) / 1
LCM(66427,66436) = 4413144172 / 1
LCM(66427,66436) = 4413144172
Least Common Multiple (LCM) of 66427 and 66436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66427 and 66436. First we will calculate the prime factors of 66427 and 66436.
Prime Factorization of 66427
Prime factors of 66427 are 181, 367. Prime factorization of 66427 in exponential form is:
66427 = 1811 × 3671
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 66427 and 66436.
LCM(66427,66436) = 1811 × 3671 × 22 × 171 × 9771
LCM(66427,66436) = 4413144172
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