What is the Least Common Multiple of 55621 and 55626?
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 55621 and 55626 is 3093973746.
LCM(55621,55626) = 3093973746
Least Common Multiple of 55621 and 55626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55621 and 55626, than apply into the LCM equation.
GCF(55621,55626) = 1
LCM(55621,55626) = ( 55621 × 55626) / 1
LCM(55621,55626) = 3093973746 / 1
LCM(55621,55626) = 3093973746
Least Common Multiple (LCM) of 55621 and 55626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55621 and 55626. First we will calculate the prime factors of 55621 and 55626.
Prime Factorization of 55621
Prime factors of 55621 are 55621. Prime factorization of 55621 in exponential form is:
55621 = 556211
Prime Factorization of 55626
Prime factors of 55626 are 2, 3, 73, 127. Prime factorization of 55626 in exponential form is:
55626 = 21 × 31 × 731 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 55621 and 55626.
LCM(55621,55626) = 556211 × 21 × 31 × 731 × 1271
LCM(55621,55626) = 3093973746
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