What is the Least Common Multiple of 48046 and 48061?

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 48046 and 48061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48046 and 48061, than apply into the LCM equation.

GCF(48046,48061) = 1
LCM(48046,48061) = ( 48046 × 48061) / 1
LCM(48046,48061) = 2309138806 / 1
LCM(48046,48061) = 2309138806

Least Common Multiple (LCM) of 48046 and 48061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48046 and 48061. First we will calculate the prime factors of 48046 and 48061.

Prime Factorization of 48046

Prime Factorization of 48061

Now multiplying the highest exponent prime factors to calculate the LCM of 48046 and 48061.

LCM(48046,48061) = 2¹ × 24023¹ × 13¹ × 3697¹
LCM(48046,48061) = 2309138806