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What is the Least Common Multiple of 62522 and 62540?

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 62522 and 62540 is 1955062940.

LCM(62522,62540) = 1955062940

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Least Common Multiple of 62522 and 62540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62522 and 62540, than apply into the LCM equation.

GCF(62522,62540) = 2
LCM(62522,62540) = ( 62522 × 62540) / 2
LCM(62522,62540) = 3910125880 / 2
LCM(62522,62540) = 1955062940

Least Common Multiple (LCM) of 62522 and 62540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62522 and 62540. First we will calculate the prime factors of 62522 and 62540.

Prime Factorization of 62522

Prime factors of 62522 are 2, 43, 727. Prime factorization of 62522 in exponential form is:

62522 = 21 × 431 × 7271

Prime Factorization of 62540

Prime factors of 62540 are 2, 5, 53, 59. Prime factorization of 62540 in exponential form is:

62540 = 22 × 51 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 62522 and 62540.

LCM(62522,62540) = 22 × 431 × 7271 × 51 × 531 × 591
LCM(62522,62540) = 1955062940