What is the Least Common Multiple of 48043 and 48055?

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 48043 and 48055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48043 and 48055, than apply into the LCM equation.

GCF(48043,48055) = 1
LCM(48043,48055) = ( 48043 × 48055) / 1
LCM(48043,48055) = 2308706365 / 1
LCM(48043,48055) = 2308706365

Least Common Multiple (LCM) of 48043 and 48055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48043 and 48055. First we will calculate the prime factors of 48043 and 48055.

Prime Factorization of 48043

Prime Factorization of 48055

Now multiplying the highest exponent prime factors to calculate the LCM of 48043 and 48055.

LCM(48043,48055) = 107¹ × 449¹ × 5¹ × 7¹ × 1373¹
LCM(48043,48055) = 2308706365