What is the Least Common Multiple of 15274 and 15285?

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 15274 and 15285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15274 and 15285, than apply into the LCM equation.

GCF(15274,15285) = 1
LCM(15274,15285) = ( 15274 × 15285) / 1
LCM(15274,15285) = 233463090 / 1
LCM(15274,15285) = 233463090

Least Common Multiple (LCM) of 15274 and 15285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15285. First we will calculate the prime factors of 15274 and 15285.

Prime Factorization of 15274

Prime Factorization of 15285

Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15285.

LCM(15274,15285) = 2¹ × 7¹ × 1091¹ × 3¹ × 5¹ × 1019¹
LCM(15274,15285) = 233463090