What is the Least Common Multiple of 828 and 834?
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 834 is 115092.
LCM(828,834) = 115092
Least Common Multiple of 828 and 834 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 834, than apply into the LCM equation.
GCF(828,834) = 6
LCM(828,834) = ( 828 × 834) / 6
LCM(828,834) = 690552 / 6
LCM(828,834) = 115092
Least Common Multiple (LCM) of 828 and 834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 834. First we will calculate the prime factors of 828 and 834.
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 834
Prime factors of 834 are 2, 3, 139. Prime factorization of 834 in exponential form is:
834 = 21 × 31 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 834.
LCM(828,834) = 22 × 32 × 231 × 1391
LCM(828,834) = 115092
Related Least Common Multiples of 828
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Related Least Common Multiples of 834
- LCM of 834 and 838
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