What is the Least Common Multiple of 870 and 877?
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 870 and 877 is 762990.
LCM(870,877) = 762990
Least Common Multiple of 870 and 877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 870 and 877, than apply into the LCM equation.
GCF(870,877) = 1
LCM(870,877) = ( 870 × 877) / 1
LCM(870,877) = 762990 / 1
LCM(870,877) = 762990
Least Common Multiple (LCM) of 870 and 877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 870 and 877. First we will calculate the prime factors of 870 and 877.
Prime Factorization of 870
Prime factors of 870 are 2, 3, 5, 29. Prime factorization of 870 in exponential form is:
870 = 21 × 31 × 51 × 291
Prime Factorization of 877
Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:
877 = 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 870 and 877.
LCM(870,877) = 21 × 31 × 51 × 291 × 8771
LCM(870,877) = 762990
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