What is the Least Common Multiple of 48135 and 48142?

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 48135 and 48142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48135 and 48142, than apply into the LCM equation.

GCF(48135,48142) = 1
LCM(48135,48142) = ( 48135 × 48142) / 1
LCM(48135,48142) = 2317315170 / 1
LCM(48135,48142) = 2317315170

Least Common Multiple (LCM) of 48135 and 48142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48135 and 48142. First we will calculate the prime factors of 48135 and 48142.

Prime Factorization of 48135

Prime Factorization of 48142

Now multiplying the highest exponent prime factors to calculate the LCM of 48135 and 48142.

LCM(48135,48142) = 3¹ × 5¹ × 3209¹ × 2¹ × 24071¹
LCM(48135,48142) = 2317315170