What is the Least Common Multiple of 91090 and 91094?
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 91090 and 91094 is 4148876230.
LCM(91090,91094) = 4148876230
Least Common Multiple of 91090 and 91094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91090 and 91094, than apply into the LCM equation.
GCF(91090,91094) = 2
LCM(91090,91094) = ( 91090 × 91094) / 2
LCM(91090,91094) = 8297752460 / 2
LCM(91090,91094) = 4148876230
Least Common Multiple (LCM) of 91090 and 91094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91090 and 91094. First we will calculate the prime factors of 91090 and 91094.
Prime Factorization of 91090
Prime factors of 91090 are 2, 5, 9109. Prime factorization of 91090 in exponential form is:
91090 = 21 × 51 × 91091
Prime Factorization of 91094
Prime factors of 91094 are 2, 37, 1231. Prime factorization of 91094 in exponential form is:
91094 = 21 × 371 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 91090 and 91094.
LCM(91090,91094) = 21 × 51 × 91091 × 371 × 12311
LCM(91090,91094) = 4148876230
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