What is the Least Common Multiple of 91137 and 91148?
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 91137 and 91148 is 8306955276.
LCM(91137,91148) = 8306955276
Least Common Multiple of 91137 and 91148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91137 and 91148, than apply into the LCM equation.
GCF(91137,91148) = 1
LCM(91137,91148) = ( 91137 × 91148) / 1
LCM(91137,91148) = 8306955276 / 1
LCM(91137,91148) = 8306955276
Least Common Multiple (LCM) of 91137 and 91148 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91137 and 91148. First we will calculate the prime factors of 91137 and 91148.
Prime Factorization of 91137
Prime factors of 91137 are 3, 17, 1787. Prime factorization of 91137 in exponential form is:
91137 = 31 × 171 × 17871
Prime Factorization of 91148
Prime factors of 91148 are 2, 22787. Prime factorization of 91148 in exponential form is:
91148 = 22 × 227871
Now multiplying the highest exponent prime factors to calculate the LCM of 91137 and 91148.
LCM(91137,91148) = 31 × 171 × 17871 × 22 × 227871
LCM(91137,91148) = 8306955276
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