What is the Least Common Multiple of 22202 and 22211?
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 22202 and 22211 is 493128622.
LCM(22202,22211) = 493128622
Least Common Multiple of 22202 and 22211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22202 and 22211, than apply into the LCM equation.
GCF(22202,22211) = 1
LCM(22202,22211) = ( 22202 × 22211) / 1
LCM(22202,22211) = 493128622 / 1
LCM(22202,22211) = 493128622
Least Common Multiple (LCM) of 22202 and 22211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22202 and 22211. First we will calculate the prime factors of 22202 and 22211.
Prime Factorization of 22202
Prime factors of 22202 are 2, 17, 653. Prime factorization of 22202 in exponential form is:
22202 = 21 × 171 × 6531
Prime Factorization of 22211
Prime factors of 22211 are 7, 19, 167. Prime factorization of 22211 in exponential form is:
22211 = 71 × 191 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 22202 and 22211.
LCM(22202,22211) = 21 × 171 × 6531 × 71 × 191 × 1671
LCM(22202,22211) = 493128622
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