What is the Least Common Multiple of 22902 and 22907?
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 22902 and 22907 is 524616114.
LCM(22902,22907) = 524616114
Least Common Multiple of 22902 and 22907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22902 and 22907, than apply into the LCM equation.
GCF(22902,22907) = 1
LCM(22902,22907) = ( 22902 × 22907) / 1
LCM(22902,22907) = 524616114 / 1
LCM(22902,22907) = 524616114
Least Common Multiple (LCM) of 22902 and 22907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22902 and 22907. First we will calculate the prime factors of 22902 and 22907.
Prime Factorization of 22902
Prime factors of 22902 are 2, 3, 11, 347. Prime factorization of 22902 in exponential form is:
22902 = 21 × 31 × 111 × 3471
Prime Factorization of 22907
Prime factors of 22907 are 22907. Prime factorization of 22907 in exponential form is:
22907 = 229071
Now multiplying the highest exponent prime factors to calculate the LCM of 22902 and 22907.
LCM(22902,22907) = 21 × 31 × 111 × 3471 × 229071
LCM(22902,22907) = 524616114
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