What is the Least Common Multiple of 878 and 890?
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 878 and 890 is 390710.
LCM(878,890) = 390710
Least Common Multiple of 878 and 890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 878 and 890, than apply into the LCM equation.
GCF(878,890) = 2
LCM(878,890) = ( 878 × 890) / 2
LCM(878,890) = 781420 / 2
LCM(878,890) = 390710
Least Common Multiple (LCM) of 878 and 890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 878 and 890. First we will calculate the prime factors of 878 and 890.
Prime Factorization of 878
Prime factors of 878 are 2, 439. Prime factorization of 878 in exponential form is:
878 = 21 × 4391
Prime Factorization of 890
Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:
890 = 21 × 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 878 and 890.
LCM(878,890) = 21 × 4391 × 51 × 891
LCM(878,890) = 390710
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