What is the Least Common Multiple of 7254 and 7263?

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 7254 and 7263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7254 and 7263, than apply into the LCM equation.

GCF(7254,7263) = 9
LCM(7254,7263) = ( 7254 × 7263) / 9
LCM(7254,7263) = 52685802 / 9
LCM(7254,7263) = 5853978

Least Common Multiple (LCM) of 7254 and 7263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7254 and 7263. First we will calculate the prime factors of 7254 and 7263.

Prime Factorization of 7254

Prime Factorization of 7263

Now multiplying the highest exponent prime factors to calculate the LCM of 7254 and 7263.

LCM(7254,7263) = 2¹ × 3³ × 13¹ × 31¹ × 269¹
LCM(7254,7263) = 5853978