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What is the Least Common Multiple of 7387 and 7402?

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 7387 and 7402 is 54678574.

LCM(7387,7402) = 54678574

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Least Common Multiple of 7387 and 7402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7387 and 7402, than apply into the LCM equation.

GCF(7387,7402) = 1
LCM(7387,7402) = ( 7387 × 7402) / 1
LCM(7387,7402) = 54678574 / 1
LCM(7387,7402) = 54678574

Least Common Multiple (LCM) of 7387 and 7402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7387 and 7402. First we will calculate the prime factors of 7387 and 7402.

Prime Factorization of 7387

Prime factors of 7387 are 83, 89. Prime factorization of 7387 in exponential form is:

7387 = 831 × 891

Prime Factorization of 7402

Prime factors of 7402 are 2, 3701. Prime factorization of 7402 in exponential form is:

7402 = 21 × 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 7387 and 7402.

LCM(7387,7402) = 831 × 891 × 21 × 37011
LCM(7387,7402) = 54678574