What is the Least Common Multiple of 15458 and 15476?

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 15458 and 15476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15458 and 15476, than apply into the LCM equation.

GCF(15458,15476) = 2
LCM(15458,15476) = ( 15458 × 15476) / 2
LCM(15458,15476) = 239228008 / 2
LCM(15458,15476) = 119614004

Least Common Multiple (LCM) of 15458 and 15476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15458 and 15476. First we will calculate the prime factors of 15458 and 15476.

Prime Factorization of 15458

Prime Factorization of 15476

Now multiplying the highest exponent prime factors to calculate the LCM of 15458 and 15476.

LCM(15458,15476) = 2² × 59¹ × 131¹ × 53¹ × 73¹
LCM(15458,15476) = 119614004