What is the Least Common Multiple of 3620 and 3626?
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 3620 and 3626 is 6563060.
LCM(3620,3626) = 6563060
Least Common Multiple of 3620 and 3626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3620 and 3626, than apply into the LCM equation.
GCF(3620,3626) = 2
LCM(3620,3626) = ( 3620 × 3626) / 2
LCM(3620,3626) = 13126120 / 2
LCM(3620,3626) = 6563060
Least Common Multiple (LCM) of 3620 and 3626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3620 and 3626. First we will calculate the prime factors of 3620 and 3626.
Prime Factorization of 3620
Prime factors of 3620 are 2, 5, 181. Prime factorization of 3620 in exponential form is:
3620 = 22 × 51 × 1811
Prime Factorization of 3626
Prime factors of 3626 are 2, 7, 37. Prime factorization of 3626 in exponential form is:
3626 = 21 × 72 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 3620 and 3626.
LCM(3620,3626) = 22 × 51 × 1811 × 72 × 371
LCM(3620,3626) = 6563060
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