What is the Least Common Multiple of 48142 and 48159?

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 48142 and 48159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48142 and 48159, than apply into the LCM equation.

GCF(48142,48159) = 1
LCM(48142,48159) = ( 48142 × 48159) / 1
LCM(48142,48159) = 2318470578 / 1
LCM(48142,48159) = 2318470578

Least Common Multiple (LCM) of 48142 and 48159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48142 and 48159. First we will calculate the prime factors of 48142 and 48159.

Prime Factorization of 48142

Prime Factorization of 48159

Now multiplying the highest exponent prime factors to calculate the LCM of 48142 and 48159.

LCM(48142,48159) = 2¹ × 24071¹ × 3² × 5351¹
LCM(48142,48159) = 2318470578