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What is the Least Common Multiple of 60520 and 60530?

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 60520 and 60530 is 366327560.

LCM(60520,60530) = 366327560

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Least Common Multiple of 60520 and 60530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60520 and 60530, than apply into the LCM equation.

GCF(60520,60530) = 10
LCM(60520,60530) = ( 60520 × 60530) / 10
LCM(60520,60530) = 3663275600 / 10
LCM(60520,60530) = 366327560

Least Common Multiple (LCM) of 60520 and 60530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60520 and 60530. First we will calculate the prime factors of 60520 and 60530.

Prime Factorization of 60520

Prime factors of 60520 are 2, 5, 17, 89. Prime factorization of 60520 in exponential form is:

60520 = 23 × 51 × 171 × 891

Prime Factorization of 60530

Prime factors of 60530 are 2, 5, 6053. Prime factorization of 60530 in exponential form is:

60530 = 21 × 51 × 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 60520 and 60530.

LCM(60520,60530) = 23 × 51 × 171 × 891 × 60531
LCM(60520,60530) = 366327560