What is the Least Common Multiple of 40601 and 40608?
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 40601 and 40608 is 1648725408.
LCM(40601,40608) = 1648725408
Least Common Multiple of 40601 and 40608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40601 and 40608, than apply into the LCM equation.
GCF(40601,40608) = 1
LCM(40601,40608) = ( 40601 × 40608) / 1
LCM(40601,40608) = 1648725408 / 1
LCM(40601,40608) = 1648725408
Least Common Multiple (LCM) of 40601 and 40608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40601 and 40608. First we will calculate the prime factors of 40601 and 40608.
Prime Factorization of 40601
Prime factors of 40601 are 11, 3691. Prime factorization of 40601 in exponential form is:
40601 = 111 × 36911
Prime Factorization of 40608
Prime factors of 40608 are 2, 3, 47. Prime factorization of 40608 in exponential form is:
40608 = 25 × 33 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 40601 and 40608.
LCM(40601,40608) = 111 × 36911 × 25 × 33 × 471
LCM(40601,40608) = 1648725408
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