What is the Least Common Multiple of 91837 and 91850?
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 91837 and 91850 is 8435228450.
LCM(91837,91850) = 8435228450
Least Common Multiple of 91837 and 91850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91837 and 91850, than apply into the LCM equation.
GCF(91837,91850) = 1
LCM(91837,91850) = ( 91837 × 91850) / 1
LCM(91837,91850) = 8435228450 / 1
LCM(91837,91850) = 8435228450
Least Common Multiple (LCM) of 91837 and 91850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91837 and 91850. First we will calculate the prime factors of 91837 and 91850.
Prime Factorization of 91837
Prime factors of 91837 are 91837. Prime factorization of 91837 in exponential form is:
91837 = 918371
Prime Factorization of 91850
Prime factors of 91850 are 2, 5, 11, 167. Prime factorization of 91850 in exponential form is:
91850 = 21 × 52 × 111 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 91837 and 91850.
LCM(91837,91850) = 918371 × 21 × 52 × 111 × 1671
LCM(91837,91850) = 8435228450
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