What is the Least Common Multiple of 95622 and 95637?
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 95637 is 3048333738.
LCM(95622,95637) = 3048333738
Least Common Multiple of 95622 and 95637 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 95637, than apply into the LCM equation.
GCF(95622,95637) = 3
LCM(95622,95637) = ( 95622 × 95637) / 3
LCM(95622,95637) = 9145001214 / 3
LCM(95622,95637) = 3048333738
Least Common Multiple (LCM) of 95622 and 95637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95622 and 95637. First we will calculate the prime factors of 95622 and 95637.
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 95637
Prime factors of 95637 are 3, 71, 449. Prime factorization of 95637 in exponential form is:
95637 = 31 × 711 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 95622 and 95637.
LCM(95622,95637) = 21 × 31 × 159371 × 711 × 4491
LCM(95622,95637) = 3048333738
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