What is the Least Common Multiple of 95039 and 95054?
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 95039 and 95054 is 9033837106.
LCM(95039,95054) = 9033837106
Least Common Multiple of 95039 and 95054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95039 and 95054, than apply into the LCM equation.
GCF(95039,95054) = 1
LCM(95039,95054) = ( 95039 × 95054) / 1
LCM(95039,95054) = 9033837106 / 1
LCM(95039,95054) = 9033837106
Least Common Multiple (LCM) of 95039 and 95054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95039 and 95054. First we will calculate the prime factors of 95039 and 95054.
Prime Factorization of 95039
Prime factors of 95039 are 7, 13577. Prime factorization of 95039 in exponential form is:
95039 = 71 × 135771
Prime Factorization of 95054
Prime factors of 95054 are 2, 47527. Prime factorization of 95054 in exponential form is:
95054 = 21 × 475271
Now multiplying the highest exponent prime factors to calculate the LCM of 95039 and 95054.
LCM(95039,95054) = 71 × 135771 × 21 × 475271
LCM(95039,95054) = 9033837106
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