What is the Least Common Multiple of 30438 and 30458?

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 30438 and 30458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30438 and 30458, than apply into the LCM equation.

GCF(30438,30458) = 2
LCM(30438,30458) = ( 30438 × 30458) / 2
LCM(30438,30458) = 927080604 / 2
LCM(30438,30458) = 463540302

Least Common Multiple (LCM) of 30438 and 30458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30438 and 30458. First we will calculate the prime factors of 30438 and 30458.

Prime Factorization of 30438

Prime Factorization of 30458

Now multiplying the highest exponent prime factors to calculate the LCM of 30438 and 30458.

LCM(30438,30458) = 2¹ × 3² × 19¹ × 89¹ × 97¹ × 157¹
LCM(30438,30458) = 463540302