What is the Least Common Multiple of 39450 and 39458?

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 39450 and 39458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39450 and 39458, than apply into the LCM equation.

GCF(39450,39458) = 2
LCM(39450,39458) = ( 39450 × 39458) / 2
LCM(39450,39458) = 1556618100 / 2
LCM(39450,39458) = 778309050

Least Common Multiple (LCM) of 39450 and 39458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39450 and 39458. First we will calculate the prime factors of 39450 and 39458.

Prime Factorization of 39450

Prime Factorization of 39458

Now multiplying the highest exponent prime factors to calculate the LCM of 39450 and 39458.

LCM(39450,39458) = 2¹ × 3¹ × 5² × 263¹ × 109¹ × 181¹
LCM(39450,39458) = 778309050