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What is the Least Common Multiple of 60076 and 60081?

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 60076 and 60081 is 3609426156.

LCM(60076,60081) = 3609426156

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Least Common Multiple of 60076 and 60081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60076 and 60081, than apply into the LCM equation.

GCF(60076,60081) = 1
LCM(60076,60081) = ( 60076 × 60081) / 1
LCM(60076,60081) = 3609426156 / 1
LCM(60076,60081) = 3609426156

Least Common Multiple (LCM) of 60076 and 60081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60076 and 60081. First we will calculate the prime factors of 60076 and 60081.

Prime Factorization of 60076

Prime factors of 60076 are 2, 23, 653. Prime factorization of 60076 in exponential form is:

60076 = 22 × 231 × 6531

Prime Factorization of 60081

Prime factors of 60081 are 3, 7, 2861. Prime factorization of 60081 in exponential form is:

60081 = 31 × 71 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 60076 and 60081.

LCM(60076,60081) = 22 × 231 × 6531 × 31 × 71 × 28611
LCM(60076,60081) = 3609426156