What is the Least Common Multiple of 47253 and 47265?

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 47253 and 47265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47253 and 47265, than apply into the LCM equation.

GCF(47253,47265) = 3
LCM(47253,47265) = ( 47253 × 47265) / 3
LCM(47253,47265) = 2233413045 / 3
LCM(47253,47265) = 744471015

Least Common Multiple (LCM) of 47253 and 47265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47253 and 47265. First we will calculate the prime factors of 47253 and 47265.

Prime Factorization of 47253

Prime Factorization of 47265

Now multiplying the highest exponent prime factors to calculate the LCM of 47253 and 47265.

LCM(47253,47265) = 3¹ × 19¹ × 829¹ × 5¹ × 23¹ × 137¹
LCM(47253,47265) = 744471015