GCF and LCM Calculator Logo

What is the Least Common Multiple of 47971 and 47983?

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 47971 and 47983 is 2301792493.

LCM(47971,47983) = 2301792493

LCM Calculator and
and

Least Common Multiple of 47971 and 47983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47971 and 47983, than apply into the LCM equation.

GCF(47971,47983) = 1
LCM(47971,47983) = ( 47971 × 47983) / 1
LCM(47971,47983) = 2301792493 / 1
LCM(47971,47983) = 2301792493

Least Common Multiple (LCM) of 47971 and 47983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47971 and 47983. First we will calculate the prime factors of 47971 and 47983.

Prime Factorization of 47971

Prime factors of 47971 are 7, 11, 89. Prime factorization of 47971 in exponential form is:

47971 = 72 × 111 × 891

Prime Factorization of 47983

Prime factors of 47983 are 13, 3691. Prime factorization of 47983 in exponential form is:

47983 = 131 × 36911

Now multiplying the highest exponent prime factors to calculate the LCM of 47971 and 47983.

LCM(47971,47983) = 72 × 111 × 891 × 131 × 36911
LCM(47971,47983) = 2301792493