What is the Least Common Multiple of 95154 and 95162?
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 95154 and 95162 is 4527522474.
LCM(95154,95162) = 4527522474
Least Common Multiple of 95154 and 95162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95154 and 95162, than apply into the LCM equation.
GCF(95154,95162) = 2
LCM(95154,95162) = ( 95154 × 95162) / 2
LCM(95154,95162) = 9055044948 / 2
LCM(95154,95162) = 4527522474
Least Common Multiple (LCM) of 95154 and 95162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95154 and 95162. First we will calculate the prime factors of 95154 and 95162.
Prime Factorization of 95154
Prime factors of 95154 are 2, 3, 15859. Prime factorization of 95154 in exponential form is:
95154 = 21 × 31 × 158591
Prime Factorization of 95162
Prime factors of 95162 are 2, 47581. Prime factorization of 95162 in exponential form is:
95162 = 21 × 475811
Now multiplying the highest exponent prime factors to calculate the LCM of 95154 and 95162.
LCM(95154,95162) = 21 × 31 × 158591 × 475811
LCM(95154,95162) = 4527522474
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