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What is the Least Common Multiple of 54920 and 54930?

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 54930 is 301675560.

LCM(54920,54930) = 301675560

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Least Common Multiple of 54920 and 54930 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 54930, than apply into the LCM equation.

GCF(54920,54930) = 10
LCM(54920,54930) = ( 54920 × 54930) / 10
LCM(54920,54930) = 3016755600 / 10
LCM(54920,54930) = 301675560

Least Common Multiple (LCM) of 54920 and 54930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54920 and 54930. First we will calculate the prime factors of 54920 and 54930.

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 54930

Prime factors of 54930 are 2, 3, 5, 1831. Prime factorization of 54930 in exponential form is:

54930 = 21 × 31 × 51 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 54920 and 54930.

LCM(54920,54930) = 23 × 51 × 13731 × 31 × 18311
LCM(54920,54930) = 301675560