What is the Least Common Multiple of 91003 and 91007?
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 91003 and 91007 is 8281910021.
LCM(91003,91007) = 8281910021
Least Common Multiple of 91003 and 91007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91003 and 91007, than apply into the LCM equation.
GCF(91003,91007) = 1
LCM(91003,91007) = ( 91003 × 91007) / 1
LCM(91003,91007) = 8281910021 / 1
LCM(91003,91007) = 8281910021
Least Common Multiple (LCM) of 91003 and 91007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91003 and 91007. First we will calculate the prime factors of 91003 and 91007.
Prime Factorization of 91003
Prime factors of 91003 are 11, 8273. Prime factorization of 91003 in exponential form is:
91003 = 111 × 82731
Prime Factorization of 91007
Prime factors of 91007 are 7, 13001. Prime factorization of 91007 in exponential form is:
91007 = 71 × 130011
Now multiplying the highest exponent prime factors to calculate the LCM of 91003 and 91007.
LCM(91003,91007) = 111 × 82731 × 71 × 130011
LCM(91003,91007) = 8281910021
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