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What is the Least Common Multiple of 60920 and 60934?

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 60920 and 60934 is 1856049640.

LCM(60920,60934) = 1856049640

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Least Common Multiple of 60920 and 60934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60920 and 60934, than apply into the LCM equation.

GCF(60920,60934) = 2
LCM(60920,60934) = ( 60920 × 60934) / 2
LCM(60920,60934) = 3712099280 / 2
LCM(60920,60934) = 1856049640

Least Common Multiple (LCM) of 60920 and 60934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60920 and 60934. First we will calculate the prime factors of 60920 and 60934.

Prime Factorization of 60920

Prime factors of 60920 are 2, 5, 1523. Prime factorization of 60920 in exponential form is:

60920 = 23 × 51 × 15231

Prime Factorization of 60934

Prime factors of 60934 are 2, 30467. Prime factorization of 60934 in exponential form is:

60934 = 21 × 304671

Now multiplying the highest exponent prime factors to calculate the LCM of 60920 and 60934.

LCM(60920,60934) = 23 × 51 × 15231 × 304671
LCM(60920,60934) = 1856049640