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What is the Least Common Multiple of 54920 and 54940?

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 54920 and 54940 is 150865240.

LCM(54920,54940) = 150865240

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Least Common Multiple of 54920 and 54940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54920 and 54940, than apply into the LCM equation.

GCF(54920,54940) = 20
LCM(54920,54940) = ( 54920 × 54940) / 20
LCM(54920,54940) = 3017304800 / 20
LCM(54920,54940) = 150865240

Least Common Multiple (LCM) of 54920 and 54940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54920 and 54940. First we will calculate the prime factors of 54920 and 54940.

Prime Factorization of 54920

Prime factors of 54920 are 2, 5, 1373. Prime factorization of 54920 in exponential form is:

54920 = 23 × 51 × 13731

Prime Factorization of 54940

Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:

54940 = 22 × 51 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54920 and 54940.

LCM(54920,54940) = 23 × 51 × 13731 × 411 × 671
LCM(54920,54940) = 150865240