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What is the Least Common Multiple of 54940 and 54952?

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 54940 and 54952 is 754765720.

LCM(54940,54952) = 754765720

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Least Common Multiple of 54940 and 54952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54940 and 54952, than apply into the LCM equation.

GCF(54940,54952) = 4
LCM(54940,54952) = ( 54940 × 54952) / 4
LCM(54940,54952) = 3019062880 / 4
LCM(54940,54952) = 754765720

Least Common Multiple (LCM) of 54940 and 54952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54940 and 54952. First we will calculate the prime factors of 54940 and 54952.

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

Prime Factorization of 54952

Prime factors of 54952 are 2, 6869. Prime factorization of 54952 in exponential form is:

54952 = 23 × 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 54940 and 54952.

LCM(54940,54952) = 23 × 51 × 411 × 671 × 68691
LCM(54940,54952) = 754765720