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What is the Least Common Multiple of 60062 and 60077?

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 60062 and 60077 is 3608344774.

LCM(60062,60077) = 3608344774

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Least Common Multiple of 60062 and 60077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60062 and 60077, than apply into the LCM equation.

GCF(60062,60077) = 1
LCM(60062,60077) = ( 60062 × 60077) / 1
LCM(60062,60077) = 3608344774 / 1
LCM(60062,60077) = 3608344774

Least Common Multiple (LCM) of 60062 and 60077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60062 and 60077. First we will calculate the prime factors of 60062 and 60077.

Prime Factorization of 60062

Prime factors of 60062 are 2, 59, 509. Prime factorization of 60062 in exponential form is:

60062 = 21 × 591 × 5091

Prime Factorization of 60077

Prime factors of 60077 are 60077. Prime factorization of 60077 in exponential form is:

60077 = 600771

Now multiplying the highest exponent prime factors to calculate the LCM of 60062 and 60077.

LCM(60062,60077) = 21 × 591 × 5091 × 600771
LCM(60062,60077) = 3608344774