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What is the Least Common Multiple of 7521 and 7534?

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 7521 and 7534 is 56663214.

LCM(7521,7534) = 56663214

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Least Common Multiple of 7521 and 7534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7521 and 7534, than apply into the LCM equation.

GCF(7521,7534) = 1
LCM(7521,7534) = ( 7521 × 7534) / 1
LCM(7521,7534) = 56663214 / 1
LCM(7521,7534) = 56663214

Least Common Multiple (LCM) of 7521 and 7534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7521 and 7534. First we will calculate the prime factors of 7521 and 7534.

Prime Factorization of 7521

Prime factors of 7521 are 3, 23, 109. Prime factorization of 7521 in exponential form is:

7521 = 31 × 231 × 1091

Prime Factorization of 7534

Prime factors of 7534 are 2, 3767. Prime factorization of 7534 in exponential form is:

7534 = 21 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 7521 and 7534.

LCM(7521,7534) = 31 × 231 × 1091 × 21 × 37671
LCM(7521,7534) = 56663214