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What is the Least Common Multiple of 54831 and 54840?

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 54831 and 54840 is 1002310680.

LCM(54831,54840) = 1002310680

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Least Common Multiple of 54831 and 54840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54831 and 54840, than apply into the LCM equation.

GCF(54831,54840) = 3
LCM(54831,54840) = ( 54831 × 54840) / 3
LCM(54831,54840) = 3006932040 / 3
LCM(54831,54840) = 1002310680

Least Common Multiple (LCM) of 54831 and 54840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54831 and 54840. First we will calculate the prime factors of 54831 and 54840.

Prime Factorization of 54831

Prime factors of 54831 are 3, 7, 373. Prime factorization of 54831 in exponential form is:

54831 = 31 × 72 × 3731

Prime Factorization of 54840

Prime factors of 54840 are 2, 3, 5, 457. Prime factorization of 54840 in exponential form is:

54840 = 23 × 31 × 51 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 54831 and 54840.

LCM(54831,54840) = 31 × 72 × 3731 × 23 × 51 × 4571
LCM(54831,54840) = 1002310680