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What is the Least Common Multiple of 54972 and 54985?

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 54972 and 54985 is 3022635420.

LCM(54972,54985) = 3022635420

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Least Common Multiple of 54972 and 54985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54972 and 54985, than apply into the LCM equation.

GCF(54972,54985) = 1
LCM(54972,54985) = ( 54972 × 54985) / 1
LCM(54972,54985) = 3022635420 / 1
LCM(54972,54985) = 3022635420

Least Common Multiple (LCM) of 54972 and 54985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54972 and 54985. First we will calculate the prime factors of 54972 and 54985.

Prime Factorization of 54972

Prime factors of 54972 are 2, 3, 509. Prime factorization of 54972 in exponential form is:

54972 = 22 × 33 × 5091

Prime Factorization of 54985

Prime factors of 54985 are 5, 7, 1571. Prime factorization of 54985 in exponential form is:

54985 = 51 × 71 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 54972 and 54985.

LCM(54972,54985) = 22 × 33 × 5091 × 51 × 71 × 15711
LCM(54972,54985) = 3022635420