What is the Least Common Multiple of 91243 and 91251?
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 91243 and 91251 is 8326014993.
LCM(91243,91251) = 8326014993
Least Common Multiple of 91243 and 91251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91243 and 91251, than apply into the LCM equation.
GCF(91243,91251) = 1
LCM(91243,91251) = ( 91243 × 91251) / 1
LCM(91243,91251) = 8326014993 / 1
LCM(91243,91251) = 8326014993
Least Common Multiple (LCM) of 91243 and 91251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91243 and 91251. First we will calculate the prime factors of 91243 and 91251.
Prime Factorization of 91243
Prime factors of 91243 are 91243. Prime factorization of 91243 in exponential form is:
91243 = 912431
Prime Factorization of 91251
Prime factors of 91251 are 3, 10139. Prime factorization of 91251 in exponential form is:
91251 = 32 × 101391
Now multiplying the highest exponent prime factors to calculate the LCM of 91243 and 91251.
LCM(91243,91251) = 912431 × 32 × 101391
LCM(91243,91251) = 8326014993
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