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What is the Least Common Multiple of 53987 and 54002?

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 53987 and 54002 is 2915405974.

LCM(53987,54002) = 2915405974

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Least Common Multiple of 53987 and 54002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53987 and 54002, than apply into the LCM equation.

GCF(53987,54002) = 1
LCM(53987,54002) = ( 53987 × 54002) / 1
LCM(53987,54002) = 2915405974 / 1
LCM(53987,54002) = 2915405974

Least Common Multiple (LCM) of 53987 and 54002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53987 and 54002. First we will calculate the prime factors of 53987 and 54002.

Prime Factorization of 53987

Prime factors of 53987 are 53987. Prime factorization of 53987 in exponential form is:

53987 = 539871

Prime Factorization of 54002

Prime factors of 54002 are 2, 13, 31, 67. Prime factorization of 54002 in exponential form is:

54002 = 21 × 131 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 53987 and 54002.

LCM(53987,54002) = 539871 × 21 × 131 × 311 × 671
LCM(53987,54002) = 2915405974