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What is the Least Common Multiple of 60526 and 60545?

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 60526 and 60545 is 3664546670.

LCM(60526,60545) = 3664546670

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Least Common Multiple of 60526 and 60545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60526 and 60545, than apply into the LCM equation.

GCF(60526,60545) = 1
LCM(60526,60545) = ( 60526 × 60545) / 1
LCM(60526,60545) = 3664546670 / 1
LCM(60526,60545) = 3664546670

Least Common Multiple (LCM) of 60526 and 60545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60526 and 60545. First we will calculate the prime factors of 60526 and 60545.

Prime Factorization of 60526

Prime factors of 60526 are 2, 53, 571. Prime factorization of 60526 in exponential form is:

60526 = 21 × 531 × 5711

Prime Factorization of 60545

Prime factors of 60545 are 5, 12109. Prime factorization of 60545 in exponential form is:

60545 = 51 × 121091

Now multiplying the highest exponent prime factors to calculate the LCM of 60526 and 60545.

LCM(60526,60545) = 21 × 531 × 5711 × 51 × 121091
LCM(60526,60545) = 3664546670