What is the Least Common Multiple of 91660 and 91679?
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 91660 and 91679 is 8403297140.
LCM(91660,91679) = 8403297140
Least Common Multiple of 91660 and 91679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91660 and 91679, than apply into the LCM equation.
GCF(91660,91679) = 1
LCM(91660,91679) = ( 91660 × 91679) / 1
LCM(91660,91679) = 8403297140 / 1
LCM(91660,91679) = 8403297140
Least Common Multiple (LCM) of 91660 and 91679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91660 and 91679. First we will calculate the prime factors of 91660 and 91679.
Prime Factorization of 91660
Prime factors of 91660 are 2, 5, 4583. Prime factorization of 91660 in exponential form is:
91660 = 22 × 51 × 45831
Prime Factorization of 91679
Prime factors of 91679 are 7, 1871. Prime factorization of 91679 in exponential form is:
91679 = 72 × 18711
Now multiplying the highest exponent prime factors to calculate the LCM of 91660 and 91679.
LCM(91660,91679) = 22 × 51 × 45831 × 72 × 18711
LCM(91660,91679) = 8403297140
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