What is the Least Common Multiple of 91615 and 91622?
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 91615 and 91622 is 8393949530.
LCM(91615,91622) = 8393949530
Least Common Multiple of 91615 and 91622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91615 and 91622, than apply into the LCM equation.
GCF(91615,91622) = 1
LCM(91615,91622) = ( 91615 × 91622) / 1
LCM(91615,91622) = 8393949530 / 1
LCM(91615,91622) = 8393949530
Least Common Multiple (LCM) of 91615 and 91622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91615 and 91622. First we will calculate the prime factors of 91615 and 91622.
Prime Factorization of 91615
Prime factors of 91615 are 5, 73, 251. Prime factorization of 91615 in exponential form is:
91615 = 51 × 731 × 2511
Prime Factorization of 91622
Prime factors of 91622 are 2, 61, 751. Prime factorization of 91622 in exponential form is:
91622 = 21 × 611 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 91615 and 91622.
LCM(91615,91622) = 51 × 731 × 2511 × 21 × 611 × 7511
LCM(91615,91622) = 8393949530
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