What is the Least Common Multiple of 7621 and 7637?
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 7621 and 7637 is 58201577.
LCM(7621,7637) = 58201577
Least Common Multiple of 7621 and 7637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7637, than apply into the LCM equation.
GCF(7621,7637) = 1
LCM(7621,7637) = ( 7621 × 7637) / 1
LCM(7621,7637) = 58201577 / 1
LCM(7621,7637) = 58201577
Least Common Multiple (LCM) of 7621 and 7637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7637. First we will calculate the prime factors of 7621 and 7637.
Prime Factorization of 7621
Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:
7621 = 76211
Prime Factorization of 7637
Prime factors of 7637 are 7, 1091. Prime factorization of 7637 in exponential form is:
7637 = 71 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7637.
LCM(7621,7637) = 76211 × 71 × 10911
LCM(7621,7637) = 58201577
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