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What is the Least Common Multiple of 52910 and 52920?

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 52910 and 52920 is 279999720.

LCM(52910,52920) = 279999720

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Least Common Multiple of 52910 and 52920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52910 and 52920, than apply into the LCM equation.

GCF(52910,52920) = 10
LCM(52910,52920) = ( 52910 × 52920) / 10
LCM(52910,52920) = 2799997200 / 10
LCM(52910,52920) = 279999720

Least Common Multiple (LCM) of 52910 and 52920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52910 and 52920. First we will calculate the prime factors of 52910 and 52920.

Prime Factorization of 52910

Prime factors of 52910 are 2, 5, 11, 13, 37. Prime factorization of 52910 in exponential form is:

52910 = 21 × 51 × 111 × 131 × 371

Prime Factorization of 52920

Prime factors of 52920 are 2, 3, 5, 7. Prime factorization of 52920 in exponential form is:

52920 = 23 × 33 × 51 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 52910 and 52920.

LCM(52910,52920) = 23 × 51 × 111 × 131 × 371 × 33 × 72
LCM(52910,52920) = 279999720

Related Least Common Multiples of 52910

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