What is the Least Common Multiple of 91910 and 91925?
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 91910 and 91925 is 1689765350.
LCM(91910,91925) = 1689765350
Least Common Multiple of 91910 and 91925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91910 and 91925, than apply into the LCM equation.
GCF(91910,91925) = 5
LCM(91910,91925) = ( 91910 × 91925) / 5
LCM(91910,91925) = 8448826750 / 5
LCM(91910,91925) = 1689765350
Least Common Multiple (LCM) of 91910 and 91925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91910 and 91925. First we will calculate the prime factors of 91910 and 91925.
Prime Factorization of 91910
Prime factors of 91910 are 2, 5, 7, 13, 101. Prime factorization of 91910 in exponential form is:
91910 = 21 × 51 × 71 × 131 × 1011
Prime Factorization of 91925
Prime factors of 91925 are 5, 3677. Prime factorization of 91925 in exponential form is:
91925 = 52 × 36771
Now multiplying the highest exponent prime factors to calculate the LCM of 91910 and 91925.
LCM(91910,91925) = 21 × 52 × 71 × 131 × 1011 × 36771
LCM(91910,91925) = 1689765350
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