What is the Least Common Multiple of 91058 and 91076?
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 91058 and 91076 is 4146599204.
LCM(91058,91076) = 4146599204
Least Common Multiple of 91058 and 91076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91058 and 91076, than apply into the LCM equation.
GCF(91058,91076) = 2
LCM(91058,91076) = ( 91058 × 91076) / 2
LCM(91058,91076) = 8293198408 / 2
LCM(91058,91076) = 4146599204
Least Common Multiple (LCM) of 91058 and 91076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91058 and 91076. First we will calculate the prime factors of 91058 and 91076.
Prime Factorization of 91058
Prime factors of 91058 are 2, 11, 4139. Prime factorization of 91058 in exponential form is:
91058 = 21 × 111 × 41391
Prime Factorization of 91076
Prime factors of 91076 are 2, 22769. Prime factorization of 91076 in exponential form is:
91076 = 22 × 227691
Now multiplying the highest exponent prime factors to calculate the LCM of 91058 and 91076.
LCM(91058,91076) = 22 × 111 × 41391 × 227691
LCM(91058,91076) = 4146599204
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