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What is the Least Common Multiple of 65520 and 65527?

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 65520 and 65527 is 613332720.

LCM(65520,65527) = 613332720

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Least Common Multiple of 65520 and 65527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65520 and 65527, than apply into the LCM equation.

GCF(65520,65527) = 7
LCM(65520,65527) = ( 65520 × 65527) / 7
LCM(65520,65527) = 4293329040 / 7
LCM(65520,65527) = 613332720

Least Common Multiple (LCM) of 65520 and 65527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65520 and 65527. First we will calculate the prime factors of 65520 and 65527.

Prime Factorization of 65520

Prime factors of 65520 are 2, 3, 5, 7, 13. Prime factorization of 65520 in exponential form is:

65520 = 24 × 32 × 51 × 71 × 131

Prime Factorization of 65527

Prime factors of 65527 are 7, 11, 23, 37. Prime factorization of 65527 in exponential form is:

65527 = 71 × 111 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 65520 and 65527.

LCM(65520,65527) = 24 × 32 × 51 × 71 × 131 × 111 × 231 × 371
LCM(65520,65527) = 613332720