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What is the Least Common Multiple of 60668 and 60677?

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 60668 and 60677 is 3681152236.

LCM(60668,60677) = 3681152236

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Least Common Multiple of 60668 and 60677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60668 and 60677, than apply into the LCM equation.

GCF(60668,60677) = 1
LCM(60668,60677) = ( 60668 × 60677) / 1
LCM(60668,60677) = 3681152236 / 1
LCM(60668,60677) = 3681152236

Least Common Multiple (LCM) of 60668 and 60677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60668 and 60677. First we will calculate the prime factors of 60668 and 60677.

Prime Factorization of 60668

Prime factors of 60668 are 2, 29, 523. Prime factorization of 60668 in exponential form is:

60668 = 22 × 291 × 5231

Prime Factorization of 60677

Prime factors of 60677 are 47, 1291. Prime factorization of 60677 in exponential form is:

60677 = 471 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 60668 and 60677.

LCM(60668,60677) = 22 × 291 × 5231 × 471 × 12911
LCM(60668,60677) = 3681152236