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What is the Least Common Multiple of 60662 and 60679?

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 60662 and 60679 is 3680909498.

LCM(60662,60679) = 3680909498

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Least Common Multiple of 60662 and 60679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60662 and 60679, than apply into the LCM equation.

GCF(60662,60679) = 1
LCM(60662,60679) = ( 60662 × 60679) / 1
LCM(60662,60679) = 3680909498 / 1
LCM(60662,60679) = 3680909498

Least Common Multiple (LCM) of 60662 and 60679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60662 and 60679. First we will calculate the prime factors of 60662 and 60679.

Prime Factorization of 60662

Prime factors of 60662 are 2, 7, 619. Prime factorization of 60662 in exponential form is:

60662 = 21 × 72 × 6191

Prime Factorization of 60679

Prime factors of 60679 are 60679. Prime factorization of 60679 in exponential form is:

60679 = 606791

Now multiplying the highest exponent prime factors to calculate the LCM of 60662 and 60679.

LCM(60662,60679) = 21 × 72 × 6191 × 606791
LCM(60662,60679) = 3680909498