What is the Least Common Multiple of 832 and 840?
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 832 and 840 is 87360.
LCM(832,840) = 87360
Least Common Multiple of 832 and 840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 832 and 840, than apply into the LCM equation.
GCF(832,840) = 8
LCM(832,840) = ( 832 × 840) / 8
LCM(832,840) = 698880 / 8
LCM(832,840) = 87360
Least Common Multiple (LCM) of 832 and 840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 840. First we will calculate the prime factors of 832 and 840.
Prime Factorization of 832
Prime factors of 832 are 2, 13. Prime factorization of 832 in exponential form is:
832 = 26 × 131
Prime Factorization of 840
Prime factors of 840 are 2, 3, 5, 7. Prime factorization of 840 in exponential form is:
840 = 23 × 31 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 832 and 840.
LCM(832,840) = 26 × 131 × 31 × 51 × 71
LCM(832,840) = 87360
Related Least Common Multiples of 832
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Related Least Common Multiples of 840
- LCM of 840 and 844
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