What is the Least Common Multiple of 47309 and 47318?

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 47309 and 47318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47309 and 47318, than apply into the LCM equation.

GCF(47309,47318) = 1
LCM(47309,47318) = ( 47309 × 47318) / 1
LCM(47309,47318) = 2238567262 / 1
LCM(47309,47318) = 2238567262

Least Common Multiple (LCM) of 47309 and 47318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47309 and 47318. First we will calculate the prime factors of 47309 and 47318.

Prime Factorization of 47309

Prime Factorization of 47318

Now multiplying the highest exponent prime factors to calculate the LCM of 47309 and 47318.

LCM(47309,47318) = 47309¹ × 2¹ × 59¹ × 401¹
LCM(47309,47318) = 2238567262