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What is the Least Common Multiple of 61528 and 61540?

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 61528 and 61540 is 946608280.

LCM(61528,61540) = 946608280

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Least Common Multiple of 61528 and 61540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61528 and 61540, than apply into the LCM equation.

GCF(61528,61540) = 4
LCM(61528,61540) = ( 61528 × 61540) / 4
LCM(61528,61540) = 3786433120 / 4
LCM(61528,61540) = 946608280

Least Common Multiple (LCM) of 61528 and 61540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61528 and 61540. First we will calculate the prime factors of 61528 and 61540.

Prime Factorization of 61528

Prime factors of 61528 are 2, 7691. Prime factorization of 61528 in exponential form is:

61528 = 23 × 76911

Prime Factorization of 61540

Prime factors of 61540 are 2, 5, 17, 181. Prime factorization of 61540 in exponential form is:

61540 = 22 × 51 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 61528 and 61540.

LCM(61528,61540) = 23 × 76911 × 51 × 171 × 1811
LCM(61528,61540) = 946608280