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What is the Least Common Multiple of 60898 and 60908?

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 60898 and 60908 is 1854587692.

LCM(60898,60908) = 1854587692

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Least Common Multiple of 60898 and 60908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60898 and 60908, than apply into the LCM equation.

GCF(60898,60908) = 2
LCM(60898,60908) = ( 60898 × 60908) / 2
LCM(60898,60908) = 3709175384 / 2
LCM(60898,60908) = 1854587692

Least Common Multiple (LCM) of 60898 and 60908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60898 and 60908. First we will calculate the prime factors of 60898 and 60908.

Prime Factorization of 60898

Prime factors of 60898 are 2, 30449. Prime factorization of 60898 in exponential form is:

60898 = 21 × 304491

Prime Factorization of 60908

Prime factors of 60908 are 2, 15227. Prime factorization of 60908 in exponential form is:

60908 = 22 × 152271

Now multiplying the highest exponent prime factors to calculate the LCM of 60898 and 60908.

LCM(60898,60908) = 22 × 304491 × 152271
LCM(60898,60908) = 1854587692