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What is the Least Common Multiple of 47972 and 47989?

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 47972 and 47989 is 2302128308.

LCM(47972,47989) = 2302128308

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Least Common Multiple of 47972 and 47989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47972 and 47989, than apply into the LCM equation.

GCF(47972,47989) = 1
LCM(47972,47989) = ( 47972 × 47989) / 1
LCM(47972,47989) = 2302128308 / 1
LCM(47972,47989) = 2302128308

Least Common Multiple (LCM) of 47972 and 47989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47972 and 47989. First we will calculate the prime factors of 47972 and 47989.

Prime Factorization of 47972

Prime factors of 47972 are 2, 67, 179. Prime factorization of 47972 in exponential form is:

47972 = 22 × 671 × 1791

Prime Factorization of 47989

Prime factors of 47989 are 37, 1297. Prime factorization of 47989 in exponential form is:

47989 = 371 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 47972 and 47989.

LCM(47972,47989) = 22 × 671 × 1791 × 371 × 12971
LCM(47972,47989) = 2302128308