What is the Least Common Multiple of 48034 and 48041?

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 48034 and 48041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48034 and 48041, than apply into the LCM equation.

GCF(48034,48041) = 7
LCM(48034,48041) = ( 48034 × 48041) / 7
LCM(48034,48041) = 2307601394 / 7
LCM(48034,48041) = 329657342

Least Common Multiple (LCM) of 48034 and 48041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48034 and 48041. First we will calculate the prime factors of 48034 and 48041.

Prime Factorization of 48034

Prime Factorization of 48041

Now multiplying the highest exponent prime factors to calculate the LCM of 48034 and 48041.

LCM(48034,48041) = 2¹ × 7¹ × 47¹ × 73¹ × 6863¹
LCM(48034,48041) = 329657342