What is the Least Common Multiple of 91037 and 91046?
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 91037 and 91046 is 8288554702.
LCM(91037,91046) = 8288554702
Least Common Multiple of 91037 and 91046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91037 and 91046, than apply into the LCM equation.
GCF(91037,91046) = 1
LCM(91037,91046) = ( 91037 × 91046) / 1
LCM(91037,91046) = 8288554702 / 1
LCM(91037,91046) = 8288554702
Least Common Multiple (LCM) of 91037 and 91046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91037 and 91046. First we will calculate the prime factors of 91037 and 91046.
Prime Factorization of 91037
Prime factors of 91037 are 59, 1543. Prime factorization of 91037 in exponential form is:
91037 = 591 × 15431
Prime Factorization of 91046
Prime factors of 91046 are 2, 45523. Prime factorization of 91046 in exponential form is:
91046 = 21 × 455231
Now multiplying the highest exponent prime factors to calculate the LCM of 91037 and 91046.
LCM(91037,91046) = 591 × 15431 × 21 × 455231
LCM(91037,91046) = 8288554702
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