What is the Least Common Multiple of 15230 and 15240?

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 15230 and 15240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15230 and 15240, than apply into the LCM equation.

GCF(15230,15240) = 10
LCM(15230,15240) = ( 15230 × 15240) / 10
LCM(15230,15240) = 232105200 / 10
LCM(15230,15240) = 23210520

Least Common Multiple (LCM) of 15230 and 15240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15230 and 15240. First we will calculate the prime factors of 15230 and 15240.

Prime Factorization of 15230

Prime Factorization of 15240

Now multiplying the highest exponent prime factors to calculate the LCM of 15230 and 15240.

LCM(15230,15240) = 2³ × 5¹ × 1523¹ × 3¹ × 127¹
LCM(15230,15240) = 23210520