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What is the Least Common Multiple of 60922 and 60936?

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 60922 and 60936 is 1856171496.

LCM(60922,60936) = 1856171496

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Least Common Multiple of 60922 and 60936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60922 and 60936, than apply into the LCM equation.

GCF(60922,60936) = 2
LCM(60922,60936) = ( 60922 × 60936) / 2
LCM(60922,60936) = 3712342992 / 2
LCM(60922,60936) = 1856171496

Least Common Multiple (LCM) of 60922 and 60936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60922 and 60936. First we will calculate the prime factors of 60922 and 60936.

Prime Factorization of 60922

Prime factors of 60922 are 2, 83, 367. Prime factorization of 60922 in exponential form is:

60922 = 21 × 831 × 3671

Prime Factorization of 60936

Prime factors of 60936 are 2, 3, 2539. Prime factorization of 60936 in exponential form is:

60936 = 23 × 31 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 60922 and 60936.

LCM(60922,60936) = 23 × 831 × 3671 × 31 × 25391
LCM(60922,60936) = 1856171496