What is the Least Common Multiple of 924 and 928?
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 924 and 928 is 214368.
LCM(924,928) = 214368
Least Common Multiple of 924 and 928 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 924 and 928, than apply into the LCM equation.
GCF(924,928) = 4
LCM(924,928) = ( 924 × 928) / 4
LCM(924,928) = 857472 / 4
LCM(924,928) = 214368
Least Common Multiple (LCM) of 924 and 928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 924 and 928. First we will calculate the prime factors of 924 and 928.
Prime Factorization of 924
Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:
924 = 22 × 31 × 71 × 111
Prime Factorization of 928
Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:
928 = 25 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 924 and 928.
LCM(924,928) = 25 × 31 × 71 × 111 × 291
LCM(924,928) = 214368
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Related Least Common Multiples of 928
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