What is the Least Common Multiple of 95156 and 95169?
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 95156 and 95169 is 9055901364.
LCM(95156,95169) = 9055901364
Least Common Multiple of 95156 and 95169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95156 and 95169, than apply into the LCM equation.
GCF(95156,95169) = 1
LCM(95156,95169) = ( 95156 × 95169) / 1
LCM(95156,95169) = 9055901364 / 1
LCM(95156,95169) = 9055901364
Least Common Multiple (LCM) of 95156 and 95169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95156 and 95169. First we will calculate the prime factors of 95156 and 95169.
Prime Factorization of 95156
Prime factors of 95156 are 2, 23789. Prime factorization of 95156 in exponential form is:
95156 = 22 × 237891
Prime Factorization of 95169
Prime factors of 95169 are 3, 31723. Prime factorization of 95169 in exponential form is:
95169 = 31 × 317231
Now multiplying the highest exponent prime factors to calculate the LCM of 95156 and 95169.
LCM(95156,95169) = 22 × 237891 × 31 × 317231
LCM(95156,95169) = 9055901364
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