What is the Least Common Multiple of 15450 and 15458?

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 15450 and 15458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15450 and 15458, than apply into the LCM equation.

GCF(15450,15458) = 2
LCM(15450,15458) = ( 15450 × 15458) / 2
LCM(15450,15458) = 238826100 / 2
LCM(15450,15458) = 119413050

Least Common Multiple (LCM) of 15450 and 15458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15450 and 15458. First we will calculate the prime factors of 15450 and 15458.

Prime Factorization of 15450

Prime Factorization of 15458

Now multiplying the highest exponent prime factors to calculate the LCM of 15450 and 15458.

LCM(15450,15458) = 2¹ × 3¹ × 5² × 103¹ × 59¹ × 131¹
LCM(15450,15458) = 119413050