What is the Least Common Multiple of 22057 and 22077?
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 22057 and 22077 is 486952389.
LCM(22057,22077) = 486952389
Least Common Multiple of 22057 and 22077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22057 and 22077, than apply into the LCM equation.
GCF(22057,22077) = 1
LCM(22057,22077) = ( 22057 × 22077) / 1
LCM(22057,22077) = 486952389 / 1
LCM(22057,22077) = 486952389
Least Common Multiple (LCM) of 22057 and 22077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22057 and 22077. First we will calculate the prime factors of 22057 and 22077.
Prime Factorization of 22057
Prime factors of 22057 are 7, 23, 137. Prime factorization of 22057 in exponential form is:
22057 = 71 × 231 × 1371
Prime Factorization of 22077
Prime factors of 22077 are 3, 11, 223. Prime factorization of 22077 in exponential form is:
22077 = 32 × 111 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 22057 and 22077.
LCM(22057,22077) = 71 × 231 × 1371 × 32 × 111 × 2231
LCM(22057,22077) = 486952389
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