What is the Least Common Multiple of 95622 and 95626?
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 95622 and 95626 is 4571974686.
LCM(95622,95626) = 4571974686
Least Common Multiple of 95622 and 95626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95622 and 95626, than apply into the LCM equation.
GCF(95622,95626) = 2
LCM(95622,95626) = ( 95622 × 95626) / 2
LCM(95622,95626) = 9143949372 / 2
LCM(95622,95626) = 4571974686
Least Common Multiple (LCM) of 95622 and 95626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95622 and 95626. First we will calculate the prime factors of 95622 and 95626.
Prime Factorization of 95622
Prime factors of 95622 are 2, 3, 15937. Prime factorization of 95622 in exponential form is:
95622 = 21 × 31 × 159371
Prime Factorization of 95626
Prime factors of 95626 are 2, 137, 349. Prime factorization of 95626 in exponential form is:
95626 = 21 × 1371 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 95622 and 95626.
LCM(95622,95626) = 21 × 31 × 159371 × 1371 × 3491
LCM(95622,95626) = 4571974686
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