What is the Least Common Multiple of 95669 and 95673?
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 95669 and 95673 is 9152940237.
LCM(95669,95673) = 9152940237
Least Common Multiple of 95669 and 95673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95669 and 95673, than apply into the LCM equation.
GCF(95669,95673) = 1
LCM(95669,95673) = ( 95669 × 95673) / 1
LCM(95669,95673) = 9152940237 / 1
LCM(95669,95673) = 9152940237
Least Common Multiple (LCM) of 95669 and 95673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95669 and 95673. First we will calculate the prime factors of 95669 and 95673.
Prime Factorization of 95669
Prime factors of 95669 are 7, 79, 173. Prime factorization of 95669 in exponential form is:
95669 = 71 × 791 × 1731
Prime Factorization of 95673
Prime factors of 95673 are 3, 31891. Prime factorization of 95673 in exponential form is:
95673 = 31 × 318911
Now multiplying the highest exponent prime factors to calculate the LCM of 95669 and 95673.
LCM(95669,95673) = 71 × 791 × 1731 × 31 × 318911
LCM(95669,95673) = 9152940237
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