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What is the Least Common Multiple of 52520 and 52533?

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 52520 and 52533 is 212233320.

LCM(52520,52533) = 212233320

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Least Common Multiple of 52520 and 52533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52520 and 52533, than apply into the LCM equation.

GCF(52520,52533) = 13
LCM(52520,52533) = ( 52520 × 52533) / 13
LCM(52520,52533) = 2759033160 / 13
LCM(52520,52533) = 212233320

Least Common Multiple (LCM) of 52520 and 52533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52520 and 52533. First we will calculate the prime factors of 52520 and 52533.

Prime Factorization of 52520

Prime factors of 52520 are 2, 5, 13, 101. Prime factorization of 52520 in exponential form is:

52520 = 23 × 51 × 131 × 1011

Prime Factorization of 52533

Prime factors of 52533 are 3, 13, 449. Prime factorization of 52533 in exponential form is:

52533 = 32 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 52520 and 52533.

LCM(52520,52533) = 23 × 51 × 131 × 1011 × 32 × 4491
LCM(52520,52533) = 212233320