What is the Least Common Multiple of 66617 and 66624?
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 66617 and 66624 is 4438291008.
LCM(66617,66624) = 4438291008
Least Common Multiple of 66617 and 66624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66617 and 66624, than apply into the LCM equation.
GCF(66617,66624) = 1
LCM(66617,66624) = ( 66617 × 66624) / 1
LCM(66617,66624) = 4438291008 / 1
LCM(66617,66624) = 4438291008
Least Common Multiple (LCM) of 66617 and 66624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66617 and 66624. First we will calculate the prime factors of 66617 and 66624.
Prime Factorization of 66617
Prime factors of 66617 are 66617. Prime factorization of 66617 in exponential form is:
66617 = 666171
Prime Factorization of 66624
Prime factors of 66624 are 2, 3, 347. Prime factorization of 66624 in exponential form is:
66624 = 26 × 31 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 66617 and 66624.
LCM(66617,66624) = 666171 × 26 × 31 × 3471
LCM(66617,66624) = 4438291008
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