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What is the Least Common Multiple of 35520 and 35528?

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 35520 and 35528 is 157744320.

LCM(35520,35528) = 157744320

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Least Common Multiple of 35520 and 35528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35520 and 35528, than apply into the LCM equation.

GCF(35520,35528) = 8
LCM(35520,35528) = ( 35520 × 35528) / 8
LCM(35520,35528) = 1261954560 / 8
LCM(35520,35528) = 157744320

Least Common Multiple (LCM) of 35520 and 35528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35520 and 35528. First we will calculate the prime factors of 35520 and 35528.

Prime Factorization of 35520

Prime factors of 35520 are 2, 3, 5, 37. Prime factorization of 35520 in exponential form is:

35520 = 26 × 31 × 51 × 371

Prime Factorization of 35528

Prime factors of 35528 are 2, 4441. Prime factorization of 35528 in exponential form is:

35528 = 23 × 44411

Now multiplying the highest exponent prime factors to calculate the LCM of 35520 and 35528.

LCM(35520,35528) = 26 × 31 × 51 × 371 × 44411
LCM(35520,35528) = 157744320