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What is the Least Common Multiple of 73874 and 73888?

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 73874 and 73888 is 2729201056.

LCM(73874,73888) = 2729201056

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Least Common Multiple of 73874 and 73888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73874 and 73888, than apply into the LCM equation.

GCF(73874,73888) = 2
LCM(73874,73888) = ( 73874 × 73888) / 2
LCM(73874,73888) = 5458402112 / 2
LCM(73874,73888) = 2729201056

Least Common Multiple (LCM) of 73874 and 73888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73874 and 73888. First we will calculate the prime factors of 73874 and 73888.

Prime Factorization of 73874

Prime factors of 73874 are 2, 43, 859. Prime factorization of 73874 in exponential form is:

73874 = 21 × 431 × 8591

Prime Factorization of 73888

Prime factors of 73888 are 2, 2309. Prime factorization of 73888 in exponential form is:

73888 = 25 × 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 73874 and 73888.

LCM(73874,73888) = 25 × 431 × 8591 × 23091
LCM(73874,73888) = 2729201056