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What is the Least Common Multiple of 52690 and 52697?

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 52690 and 52697 is 2776604930.

LCM(52690,52697) = 2776604930

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Least Common Multiple of 52690 and 52697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52690 and 52697, than apply into the LCM equation.

GCF(52690,52697) = 1
LCM(52690,52697) = ( 52690 × 52697) / 1
LCM(52690,52697) = 2776604930 / 1
LCM(52690,52697) = 2776604930

Least Common Multiple (LCM) of 52690 and 52697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52690 and 52697. First we will calculate the prime factors of 52690 and 52697.

Prime Factorization of 52690

Prime factors of 52690 are 2, 5, 11, 479. Prime factorization of 52690 in exponential form is:

52690 = 21 × 51 × 111 × 4791

Prime Factorization of 52697

Prime factors of 52697 are 52697. Prime factorization of 52697 in exponential form is:

52697 = 526971

Now multiplying the highest exponent prime factors to calculate the LCM of 52690 and 52697.

LCM(52690,52697) = 21 × 51 × 111 × 4791 × 526971
LCM(52690,52697) = 2776604930