What is the Least Common Multiple of 22047 and 22062?
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 22047 and 22062 is 162133638.
LCM(22047,22062) = 162133638
Least Common Multiple of 22047 and 22062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22047 and 22062, than apply into the LCM equation.
GCF(22047,22062) = 3
LCM(22047,22062) = ( 22047 × 22062) / 3
LCM(22047,22062) = 486400914 / 3
LCM(22047,22062) = 162133638
Least Common Multiple (LCM) of 22047 and 22062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22047 and 22062. First we will calculate the prime factors of 22047 and 22062.
Prime Factorization of 22047
Prime factors of 22047 are 3, 7349. Prime factorization of 22047 in exponential form is:
22047 = 31 × 73491
Prime Factorization of 22062
Prime factors of 22062 are 2, 3, 3677. Prime factorization of 22062 in exponential form is:
22062 = 21 × 31 × 36771
Now multiplying the highest exponent prime factors to calculate the LCM of 22047 and 22062.
LCM(22047,22062) = 31 × 73491 × 21 × 36771
LCM(22047,22062) = 162133638
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