What is the Least Common Multiple of 48971 and 48988?

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 of 48971 and 48988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48971 and 48988, than apply into the LCM equation.

GCF(48971,48988) = 1
LCM(48971,48988) = ( 48971 × 48988) / 1
LCM(48971,48988) = 2398991348 / 1
LCM(48971,48988) = 2398991348

Least Common Multiple (LCM) of 48971 and 48988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48971 and 48988. First we will calculate the prime factors of 48971 and 48988.

Prime Factorization of 48971

Prime Factorization of 48988

Now multiplying the highest exponent prime factors to calculate the LCM of 48971 and 48988.

LCM(48971,48988) = 13¹ × 3767¹ × 2² × 37¹ × 331¹
LCM(48971,48988) = 2398991348