What is the Least Common Multiple of 48111 and 48119?

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 48111 and 48119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48111 and 48119, than apply into the LCM equation.

GCF(48111,48119) = 1
LCM(48111,48119) = ( 48111 × 48119) / 1
LCM(48111,48119) = 2315053209 / 1
LCM(48111,48119) = 2315053209

Least Common Multiple (LCM) of 48111 and 48119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48111 and 48119. First we will calculate the prime factors of 48111 and 48119.

Prime Factorization of 48111

Prime Factorization of 48119

Now multiplying the highest exponent prime factors to calculate the LCM of 48111 and 48119.

LCM(48111,48119) = 3¹ × 7¹ × 29¹ × 79¹ × 48119¹
LCM(48111,48119) = 2315053209