What is the Least Common Multiple of 828 and 841?
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 828 and 841 is 696348.
LCM(828,841) = 696348
Least Common Multiple of 828 and 841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 828 and 841, than apply into the LCM equation.
GCF(828,841) = 1
LCM(828,841) = ( 828 × 841) / 1
LCM(828,841) = 696348 / 1
LCM(828,841) = 696348
Least Common Multiple (LCM) of 828 and 841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 841. First we will calculate the prime factors of 828 and 841.
Prime Factorization of 828
Prime factors of 828 are 2, 3, 23. Prime factorization of 828 in exponential form is:
828 = 22 × 32 × 231
Prime Factorization of 841
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 841.
LCM(828,841) = 22 × 32 × 231 × 292
LCM(828,841) = 696348
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