What is the Least Common Multiple of 91046 and 91066?
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 91046 and 91066 is 4145597518.
LCM(91046,91066) = 4145597518
Least Common Multiple of 91046 and 91066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91046 and 91066, than apply into the LCM equation.
GCF(91046,91066) = 2
LCM(91046,91066) = ( 91046 × 91066) / 2
LCM(91046,91066) = 8291195036 / 2
LCM(91046,91066) = 4145597518
Least Common Multiple (LCM) of 91046 and 91066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91046 and 91066. First we will calculate the prime factors of 91046 and 91066.
Prime Factorization of 91046
Prime factors of 91046 are 2, 45523. Prime factorization of 91046 in exponential form is:
91046 = 21 × 455231
Prime Factorization of 91066
Prime factors of 91066 are 2, 45533. Prime factorization of 91066 in exponential form is:
91066 = 21 × 455331
Now multiplying the highest exponent prime factors to calculate the LCM of 91046 and 91066.
LCM(91046,91066) = 21 × 455231 × 455331
LCM(91046,91066) = 4145597518
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