What is the Least Common Multiple of 33624 and 33641?
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 33624 and 33641 is 1131144984.
LCM(33624,33641) = 1131144984
Least Common Multiple of 33624 and 33641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33624 and 33641, than apply into the LCM equation.
GCF(33624,33641) = 1
LCM(33624,33641) = ( 33624 × 33641) / 1
LCM(33624,33641) = 1131144984 / 1
LCM(33624,33641) = 1131144984
Least Common Multiple (LCM) of 33624 and 33641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33624 and 33641. First we will calculate the prime factors of 33624 and 33641.
Prime Factorization of 33624
Prime factors of 33624 are 2, 3, 467. Prime factorization of 33624 in exponential form is:
33624 = 23 × 32 × 4671
Prime Factorization of 33641
Prime factors of 33641 are 33641. Prime factorization of 33641 in exponential form is:
33641 = 336411
Now multiplying the highest exponent prime factors to calculate the LCM of 33624 and 33641.
LCM(33624,33641) = 23 × 32 × 4671 × 336411
LCM(33624,33641) = 1131144984
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