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What is the Least Common Multiple of 60929 and 60939?

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 60929 and 60939 is 3712952331.

LCM(60929,60939) = 3712952331

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Least Common Multiple of 60929 and 60939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60929 and 60939, than apply into the LCM equation.

GCF(60929,60939) = 1
LCM(60929,60939) = ( 60929 × 60939) / 1
LCM(60929,60939) = 3712952331 / 1
LCM(60929,60939) = 3712952331

Least Common Multiple (LCM) of 60929 and 60939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60929 and 60939. First we will calculate the prime factors of 60929 and 60939.

Prime Factorization of 60929

Prime factors of 60929 are 11, 29, 191. Prime factorization of 60929 in exponential form is:

60929 = 111 × 291 × 1911

Prime Factorization of 60939

Prime factors of 60939 are 3, 37, 61. Prime factorization of 60939 in exponential form is:

60939 = 33 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 60929 and 60939.

LCM(60929,60939) = 111 × 291 × 1911 × 33 × 371 × 611
LCM(60929,60939) = 3712952331