What is the Least Common Multiple of 22060 and 22076?
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 22060 and 22076 is 121749140.
LCM(22060,22076) = 121749140
Least Common Multiple of 22060 and 22076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22060 and 22076, than apply into the LCM equation.
GCF(22060,22076) = 4
LCM(22060,22076) = ( 22060 × 22076) / 4
LCM(22060,22076) = 486996560 / 4
LCM(22060,22076) = 121749140
Least Common Multiple (LCM) of 22060 and 22076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22060 and 22076. First we will calculate the prime factors of 22060 and 22076.
Prime Factorization of 22060
Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:
22060 = 22 × 51 × 11031
Prime Factorization of 22076
Prime factors of 22076 are 2, 5519. Prime factorization of 22076 in exponential form is:
22076 = 22 × 55191
Now multiplying the highest exponent prime factors to calculate the LCM of 22060 and 22076.
LCM(22060,22076) = 22 × 51 × 11031 × 55191
LCM(22060,22076) = 121749140
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