What is the Least Common Multiple of 26998 and 27003?
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 26998 and 27003 is 729026994.
LCM(26998,27003) = 729026994
Least Common Multiple of 26998 and 27003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26998 and 27003, than apply into the LCM equation.
GCF(26998,27003) = 1
LCM(26998,27003) = ( 26998 × 27003) / 1
LCM(26998,27003) = 729026994 / 1
LCM(26998,27003) = 729026994
Least Common Multiple (LCM) of 26998 and 27003 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26998 and 27003. First we will calculate the prime factors of 26998 and 27003.
Prime Factorization of 26998
Prime factors of 26998 are 2, 13499. Prime factorization of 26998 in exponential form is:
26998 = 21 × 134991
Prime Factorization of 27003
Prime factors of 27003 are 3, 9001. Prime factorization of 27003 in exponential form is:
27003 = 31 × 90011
Now multiplying the highest exponent prime factors to calculate the LCM of 26998 and 27003.
LCM(26998,27003) = 21 × 134991 × 31 × 90011
LCM(26998,27003) = 729026994
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