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What is the Least Common Multiple of 60920 and 60932?

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 60932 is 927994360.

LCM(60920,60932) = 927994360

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Least Common Multiple of 60920 and 60932 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 60932, than apply into the LCM equation.

GCF(60920,60932) = 4
LCM(60920,60932) = ( 60920 × 60932) / 4
LCM(60920,60932) = 3711977440 / 4
LCM(60920,60932) = 927994360

Least Common Multiple (LCM) of 60920 and 60932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60920 and 60932. First we will calculate the prime factors of 60920 and 60932.

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 60932

Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:

60932 = 22 × 152331

Now multiplying the highest exponent prime factors to calculate the LCM of 60920 and 60932.

LCM(60920,60932) = 23 × 51 × 15231 × 152331
LCM(60920,60932) = 927994360