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What is the Least Common Multiple of 7434 and 7451?

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 7434 and 7451 is 55390734.

LCM(7434,7451) = 55390734

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Least Common Multiple of 7434 and 7451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7434 and 7451, than apply into the LCM equation.

GCF(7434,7451) = 1
LCM(7434,7451) = ( 7434 × 7451) / 1
LCM(7434,7451) = 55390734 / 1
LCM(7434,7451) = 55390734

Least Common Multiple (LCM) of 7434 and 7451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7451. First we will calculate the prime factors of 7434 and 7451.

Prime Factorization of 7434

Prime factors of 7434 are 2, 3, 7, 59. Prime factorization of 7434 in exponential form is:

7434 = 21 × 32 × 71 × 591

Prime Factorization of 7451

Prime factors of 7451 are 7451. Prime factorization of 7451 in exponential form is:

7451 = 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7451.

LCM(7434,7451) = 21 × 32 × 71 × 591 × 74511
LCM(7434,7451) = 55390734