What is the Least Common Multiple of 62622 and 62626?
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 62622 and 62626 is 1960882686.
LCM(62622,62626) = 1960882686
Least Common Multiple of 62622 and 62626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62622 and 62626, than apply into the LCM equation.
GCF(62622,62626) = 2
LCM(62622,62626) = ( 62622 × 62626) / 2
LCM(62622,62626) = 3921765372 / 2
LCM(62622,62626) = 1960882686
Least Common Multiple (LCM) of 62622 and 62626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62622 and 62626. First we will calculate the prime factors of 62622 and 62626.
Prime Factorization of 62622
Prime factors of 62622 are 2, 3, 7, 71. Prime factorization of 62622 in exponential form is:
62622 = 21 × 32 × 72 × 711
Prime Factorization of 62626
Prime factors of 62626 are 2, 173, 181. Prime factorization of 62626 in exponential form is:
62626 = 21 × 1731 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 62622 and 62626.
LCM(62622,62626) = 21 × 32 × 72 × 711 × 1731 × 1811
LCM(62622,62626) = 1960882686
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