What is the Least Common Multiple of 840 and 847?
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 840 and 847 is 101640.
LCM(840,847) = 101640
Least Common Multiple of 840 and 847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 840 and 847, than apply into the LCM equation.
GCF(840,847) = 7
LCM(840,847) = ( 840 × 847) / 7
LCM(840,847) = 711480 / 7
LCM(840,847) = 101640
Least Common Multiple (LCM) of 840 and 847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 847. First we will calculate the prime factors of 840 and 847.
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
Prime Factorization of 847
Prime factors of 847 are 7, 11. Prime factorization of 847 in exponential form is:
847 = 71 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 847.
LCM(840,847) = 23 × 31 × 51 × 71 × 112
LCM(840,847) = 101640
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