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What is the Least Common Multiple of 74813 and 74818?

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 74813 and 74818 is 5597359034.

LCM(74813,74818) = 5597359034

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Least Common Multiple of 74813 and 74818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74813 and 74818, than apply into the LCM equation.

GCF(74813,74818) = 1
LCM(74813,74818) = ( 74813 × 74818) / 1
LCM(74813,74818) = 5597359034 / 1
LCM(74813,74818) = 5597359034

Least Common Multiple (LCM) of 74813 and 74818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74813 and 74818. First we will calculate the prime factors of 74813 and 74818.

Prime Factorization of 74813

Prime factors of 74813 are 79, 947. Prime factorization of 74813 in exponential form is:

74813 = 791 × 9471

Prime Factorization of 74818

Prime factors of 74818 are 2, 37409. Prime factorization of 74818 in exponential form is:

74818 = 21 × 374091

Now multiplying the highest exponent prime factors to calculate the LCM of 74813 and 74818.

LCM(74813,74818) = 791 × 9471 × 21 × 374091
LCM(74813,74818) = 5597359034