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What is the Least Common Multiple of 60525 and 60542?

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 60525 and 60542 is 3664304550.

LCM(60525,60542) = 3664304550

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Least Common Multiple of 60525 and 60542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60525 and 60542, than apply into the LCM equation.

GCF(60525,60542) = 1
LCM(60525,60542) = ( 60525 × 60542) / 1
LCM(60525,60542) = 3664304550 / 1
LCM(60525,60542) = 3664304550

Least Common Multiple (LCM) of 60525 and 60542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60525 and 60542. First we will calculate the prime factors of 60525 and 60542.

Prime Factorization of 60525

Prime factors of 60525 are 3, 5, 269. Prime factorization of 60525 in exponential form is:

60525 = 32 × 52 × 2691

Prime Factorization of 60542

Prime factors of 60542 are 2, 30271. Prime factorization of 60542 in exponential form is:

60542 = 21 × 302711

Now multiplying the highest exponent prime factors to calculate the LCM of 60525 and 60542.

LCM(60525,60542) = 32 × 52 × 2691 × 21 × 302711
LCM(60525,60542) = 3664304550