What is the Least Common Multiple of 95156 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 95156 and 95162 is 4527617636.
LCM(95156,95162) = 4527617636
Least Common Multiple of 95156 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 95156 and 95162, than apply into the LCM equation.
GCF(95156,95162) = 2
LCM(95156,95162) = ( 95156 × 95162) / 2
LCM(95156,95162) = 9055235272 / 2
LCM(95156,95162) = 4527617636
Least Common Multiple (LCM) of 95156 and 95162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95156 and 95162. First we will calculate the prime factors of 95156 and 95162.
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 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 95156 and 95162.
LCM(95156,95162) = 22 × 237891 × 475811
LCM(95156,95162) = 4527617636
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