What is the Least Common Multiple of 91618 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 91618 and 91622 is 4197112198.
LCM(91618,91622) = 4197112198
Least Common Multiple of 91618 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 91618 and 91622, than apply into the LCM equation.
GCF(91618,91622) = 2
LCM(91618,91622) = ( 91618 × 91622) / 2
LCM(91618,91622) = 8394224396 / 2
LCM(91618,91622) = 4197112198
Least Common Multiple (LCM) of 91618 and 91622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91618 and 91622. First we will calculate the prime factors of 91618 and 91622.
Prime Factorization of 91618
Prime factors of 91618 are 2, 19, 2411. Prime factorization of 91618 in exponential form is:
91618 = 21 × 191 × 24111
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 91618 and 91622.
LCM(91618,91622) = 21 × 191 × 24111 × 611 × 7511
LCM(91618,91622) = 4197112198
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