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What is the Least Common Multiple of 74888 and 74904?

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 74888 and 74904 is 701176344.

LCM(74888,74904) = 701176344

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Least Common Multiple of 74888 and 74904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74888 and 74904, than apply into the LCM equation.

GCF(74888,74904) = 8
LCM(74888,74904) = ( 74888 × 74904) / 8
LCM(74888,74904) = 5609410752 / 8
LCM(74888,74904) = 701176344

Least Common Multiple (LCM) of 74888 and 74904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74888 and 74904. First we will calculate the prime factors of 74888 and 74904.

Prime Factorization of 74888

Prime factors of 74888 are 2, 11, 23, 37. Prime factorization of 74888 in exponential form is:

74888 = 23 × 111 × 231 × 371

Prime Factorization of 74904

Prime factors of 74904 are 2, 3, 3121. Prime factorization of 74904 in exponential form is:

74904 = 23 × 31 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 74888 and 74904.

LCM(74888,74904) = 23 × 111 × 231 × 371 × 31 × 31211
LCM(74888,74904) = 701176344