What is the Least Common Multiple of 95860 and 95870?
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 95860 and 95870 is 919009820.
LCM(95860,95870) = 919009820
Least Common Multiple of 95860 and 95870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95860 and 95870, than apply into the LCM equation.
GCF(95860,95870) = 10
LCM(95860,95870) = ( 95860 × 95870) / 10
LCM(95860,95870) = 9190098200 / 10
LCM(95860,95870) = 919009820
Least Common Multiple (LCM) of 95860 and 95870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95860 and 95870. First we will calculate the prime factors of 95860 and 95870.
Prime Factorization of 95860
Prime factors of 95860 are 2, 5, 4793. Prime factorization of 95860 in exponential form is:
95860 = 22 × 51 × 47931
Prime Factorization of 95870
Prime factors of 95870 are 2, 5, 9587. Prime factorization of 95870 in exponential form is:
95870 = 21 × 51 × 95871
Now multiplying the highest exponent prime factors to calculate the LCM of 95860 and 95870.
LCM(95860,95870) = 22 × 51 × 47931 × 95871
LCM(95860,95870) = 919009820
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