What is the Least Common Multiple of 66441 and 66455?
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 66441 and 66455 is 4415336655.
LCM(66441,66455) = 4415336655
Least Common Multiple of 66441 and 66455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66441 and 66455, than apply into the LCM equation.
GCF(66441,66455) = 1
LCM(66441,66455) = ( 66441 × 66455) / 1
LCM(66441,66455) = 4415336655 / 1
LCM(66441,66455) = 4415336655
Least Common Multiple (LCM) of 66441 and 66455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66441 and 66455. First we will calculate the prime factors of 66441 and 66455.
Prime Factorization of 66441
Prime factors of 66441 are 3, 22147. Prime factorization of 66441 in exponential form is:
66441 = 31 × 221471
Prime Factorization of 66455
Prime factors of 66455 are 5, 13291. Prime factorization of 66455 in exponential form is:
66455 = 51 × 132911
Now multiplying the highest exponent prime factors to calculate the LCM of 66441 and 66455.
LCM(66441,66455) = 31 × 221471 × 51 × 132911
LCM(66441,66455) = 4415336655
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