What is the Least Common Multiple of 22076 and 22091?
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 22076 and 22091 is 487680916.
LCM(22076,22091) = 487680916
Least Common Multiple of 22076 and 22091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22076 and 22091, than apply into the LCM equation.
GCF(22076,22091) = 1
LCM(22076,22091) = ( 22076 × 22091) / 1
LCM(22076,22091) = 487680916 / 1
LCM(22076,22091) = 487680916
Least Common Multiple (LCM) of 22076 and 22091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22076 and 22091. First we will calculate the prime factors of 22076 and 22091.
Prime Factorization of 22076
Prime factors of 22076 are 2, 5519. Prime factorization of 22076 in exponential form is:
22076 = 22 × 55191
Prime Factorization of 22091
Prime factors of 22091 are 22091. Prime factorization of 22091 in exponential form is:
22091 = 220911
Now multiplying the highest exponent prime factors to calculate the LCM of 22076 and 22091.
LCM(22076,22091) = 22 × 55191 × 220911
LCM(22076,22091) = 487680916
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